[go: up one dir, main page]

Search a number
-
+
260251020 = 223253114649
BaseRepresentation
bin11111000001100…
…01110110001100
3200010201010021200
433200301312030
51013111013040
641454025500
76310045221
oct1740616614
9603633250
10260251020
111239a5497
12731a8290
1341bc15b3
14267c7948
1517cab630
hexf831d8c

260251020 has 72 divisors (see below), whose sum is σ = 792136800. Its totient is φ = 69162240.

The previous prime is 260251001. The next prime is 260251021. The reversal of 260251020 is 20152062.

260251020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2602510202 = 135461186822080800, 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 = 260250984 and 260251002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260251021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53656 + ... + 58304.

It is an arithmetic number, because the mean of its divisors is an integer number (11001900).

Almost surely, 2260251020 is an apocalyptic number.

260251020 is a gapful number since it is divisible by the number (20) 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 260251020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396068400).

260251020 is an abundant number, since it is smaller than the sum of its proper divisors (531885780).

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

260251020 is a wasteful number, since it uses less digits than its factorization.

260251020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 260251020 is about 16132.2974185328. The cubic root of 260251020 is about 638.4557658995.

The spelling of 260251020 in words is "two hundred sixty million, two hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4649 4665 5598 6220 9298 9330 11196 13947 13995 18596 18660 23245 27894 27990 41841 46490 55788 55980 69735 83682 92980 139470 167364 209205 278940 418410 836820 1445839 2891678 4337517 5783356 7229195 8675034 13012551 14458390 17350068 21687585 26025102 28916780 43375170 52050204 65062755 86750340 130125510 260251020