Search a number
-
+
256120260 = 2235112811381
BaseRepresentation
bin11110100010000…
…01010111000100
3122211221020221120
433101001113010
51011031322020
641225313540
76226662204
oct1721012704
9584836846
10256120260
11121633a40
12719358b0
13410a6366
1426030404
1517742740
hexf4415c4

256120260 has 96 divisors (see below), whose sum is σ = 785683584. Its totient is φ = 61824000.

The previous prime is 256120259. The next prime is 256120261. The reversal of 256120260 is 62021652.

It is an interprime number because it is at equal distance from previous prime (256120259) and next prime (256120261).

It is a self number, because there is not a number n which added to its sum of digits gives 256120260.

It is not an unprimeable number, because it can be changed into a prime (256120261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184770 + ... + 186150.

It is an arithmetic number, because the mean of its divisors is an integer number (8184204).

Almost surely, 2256120260 is an apocalyptic number.

256120260 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 256120260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392841792).

256120260 is an abundant number, since it is smaller than the sum of its proper divisors (529563324).

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

256120260 is a wasteful number, since it uses less digits than its factorization.

256120260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256120260 is about 16003.7576837442. The cubic root of 256120260 is about 635.0598327484.

The spelling of 256120260 in words is "two hundred fifty-six million, one hundred twenty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 281 330 562 660 843 1124 1381 1405 1686 2762 2810 3091 3372 4143 4215 5524 5620 6182 6905 8286 8430 9273 12364 13810 15191 15455 16572 16860 18546 20715 27620 30382 30910 37092 41430 45573 46365 60764 61820 75955 82860 91146 92730 151910 182292 185460 227865 303820 388061 455730 776122 911460 1164183 1552244 1940305 2328366 3880610 4268671 4656732 5820915 7761220 8537342 11641830 12806013 17074684 21343355 23283660 25612026 42686710 51224052 64030065 85373420 128060130 256120260