[go: up one dir, main page]

Search a number
-
+
601126020 = 22325112331303
BaseRepresentation
bin100011110101000…
…111010010000100
31112220010100212200
4203311013102010
52212342013040
6135352114500
720616325665
oct4365072204
91486110780
10601126020
11289357970
12149395a30
1397701291
1459b9b36c
1537b91630
hex23d47484

601126020 has 144 divisors (see below), whose sum is σ = 1999251072. Its totient is φ = 144990720.

The previous prime is 601125983. The next prime is 601126027. The reversal of 601126020 is 20621106.

It is a happy number.

601126020 is a `hidden beast` number, since 60 + 1 + 1 + 2 + 602 + 0 = 666.

It is a super-2 number, since 2×6011260202 = 722704983842080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 601125984 and 601126002.

It is not an unprimeable number, because it can be changed into a prime (601126027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460689 + ... + 461991.

It is an arithmetic number, because the mean of its divisors is an integer number (13883688).

Almost surely, 2601126020 is an apocalyptic number.

601126020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601126020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999625536).

601126020 is an abundant number, since it is smaller than the sum of its proper divisors (1398125052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

601126020 is a wasteful number, since it uses less digits than its factorization.

601126020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 601126020 is about 24517.8714410530. The cubic root of 601126020 is about 843.9599589429.

Adding to 601126020 its reverse (20621106), we get a palindrome (621747126).

It can be divided in two parts, 601 and 126020, that added together give a palindrome (126621).

The spelling of 601126020 in words is "six hundred one million, one hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 233 330 396 466 495 660 699 932 990 1165 1303 1398 1980 2097 2330 2563 2606 2796 3495 3909 4194 4660 5126 5212 6515 6990 7689 7818 8388 10252 10485 11727 12815 13030 13980 14333 15378 15636 19545 20970 23067 23454 25630 26060 28666 30756 38445 39090 41940 42999 46134 46908 51260 57332 58635 71665 76890 78180 85998 92268 115335 117270 128997 143330 153780 171996 214995 230670 234540 257994 286660 303599 429990 461340 515988 607198 644985 859980 910797 1214396 1289970 1517995 1821594 2579940 2732391 3035990 3339589 3643188 4553985 5464782 6071980 6679178 9107970 10018767 10929564 13358356 13661955 16697945 18215940 20037534 27323910 30056301 33395890 40075068 50093835 54647820 60112602 66791780 100187670 120225204 150281505 200375340 300563010 601126020