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256232460 = 223511388231
BaseRepresentation
bin11110100010111…
…00110000001100
3122212010221212010
433101130300030
51011043414320
641231541220
76230640261
oct1721346014
9585127763
10256232460
11121700270
127198a810
1341115453
142605d268
1517765ae0
hexf45cc0c

256232460 has 48 divisors (see below), whose sum is σ = 782675712. Its totient is φ = 62116800.

The previous prime is 256232413. The next prime is 256232477. The reversal of 256232460 is 64232652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 193456 + ... + 194775.

It is an arithmetic number, because the mean of its divisors is an integer number (16305744).

Almost surely, 2256232460 is an apocalyptic number.

256232460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256232460 is an abundant number, since it is smaller than the sum of its proper divisors (526443252).

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

256232460 is a wasteful number, since it uses less digits than its factorization.

256232460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388254 (or 388252 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 256232460 is about 16007.2627266501. The cubic root of 256232460 is about 635.1525539190.

The spelling of 256232460 in words is "two hundred fifty-six million, two hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 388231 776462 1164693 1552924 1941155 2329386 3882310 4270541 4658772 5823465 7764620 8541082 11646930 12811623 17082164 21352705 23293860 25623246 42705410 51246492 64058115 85410820 128116230 256232460