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256116560 = 24571726903
BaseRepresentation
bin11110100010000…
…00011101010000
3122211221001212112
433101000131100
51011031212220
641225244452
76226645340
oct1721003520
9584831775
10256116560
11121631187
1271933728
13410a477b
142602cd20
15177415c5
hexf440750

256116560 has 80 divisors (see below), whose sum is σ = 720596736. Its totient is φ = 82642944.

The previous prime is 256116559. The next prime is 256116593. The reversal of 256116560 is 65611652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3932 + ... + 22971.

Almost surely, 2256116560 is an apocalyptic number.

256116560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256116560 is an abundant number, since it is smaller than the sum of its proper divisors (464480176).

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

256116560 is a wasteful number, since it uses less digits than its factorization.

256116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26940 (or 26934 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 256116560 is about 16003.6420854754. The cubic root of 256116560 is about 635.0567746373.

The spelling of 256116560 in words is "two hundred fifty-six million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 26903 53806 107612 134515 188321 215224 269030 376642 430448 457351 538060 753284 914702 941605 1076120 1506568 1829404 1883210 2152240 2286755 3013136 3201457 3658808 3766420 4573510 6402914 7317616 7532840 9147020 12805828 15065680 16007285 18294040 25611656 32014570 36588080 51223312 64029140 128058280 256116560