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256116080 = 24511291041
BaseRepresentation
bin11110100010000…
…00010101110000
3122211221001012202
433101000111300
51011031203310
641225242332
76226644053
oct1721002560
9584831182
10256116080
11121630890
12719333a8
13410a449c
142602ca9a
15177413a5
hexf440570

256116080 has 40 divisors (see below), whose sum is σ = 649605744. Its totient is φ = 93132800.

The previous prime is 256116059. The next prime is 256116089. The reversal of 256116080 is 80611652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256116089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 144641 + ... + 146400.

Almost surely, 2256116080 is an apocalyptic number.

256116080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256116080 is an abundant number, since it is smaller than the sum of its proper divisors (393489664).

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

256116080 is a wasteful number, since it uses less digits than its factorization.

256116080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291065 (or 291059 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 256116080 is about 16003.6270888821. The cubic root of 256116080 is about 635.0563779072.

The spelling of 256116080 in words is "two hundred fifty-six million, one hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 291041 582082 1164164 1455205 2328328 2910410 3201451 4656656 5820820 6402902 11641640 12805804 16007255 23283280 25611608 32014510 51223216 64029020 128058040 256116080