[go: up one dir, main page]

Search a number
-
+
104995040 = 2551394721
BaseRepresentation
bin1100100001000…
…01100011100000
321022120022010012
412100201203200
5203334320130
614230224052
72413304663
oct620414340
9238508105
10104995040
11542a3367
122b1b5028
13189a2257
14dd316da
15933e995
hex64218e0

104995040 has 48 divisors (see below), whose sum is σ = 249888240. Its totient is φ = 41687040.

The previous prime is 104995027. The next prime is 104995049. The reversal of 104995040 is 40599401.

It is a super-2 number, since 2×1049950402 = 22047916849203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 104994988 and 104995006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104995049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19880 + ... + 24600.

It is an arithmetic number, because the mean of its divisors is an integer number (5206005).

Almost surely, 2104995040 is an apocalyptic number.

104995040 is a gapful number since it is divisible by the number (10) 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 104995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124944120).

104995040 is an abundant number, since it is smaller than the sum of its proper divisors (144893200).

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

104995040 is a wasteful number, since it uses less digits than its factorization.

104995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 104995040 is about 10246.7087398833. The cubic root of 104995040 is about 471.7619694188.

The spelling of 104995040 in words is "one hundred four million, nine hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4448 4721 5560 9442 11120 18884 22240 23605 37768 47210 75536 94420 151072 188840 377680 656219 755360 1312438 2624876 3281095 5249752 6562190 10499504 13124380 20999008 26248760 52497520 104995040