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256453420 = 22571313577
BaseRepresentation
bin11110100100100…
…10101100101100
3122212120011221211
433102102230230
51011123002140
641240404204
76232550416
oct1722225454
9585504854
10256453420
11121841283
1271a76664
1341191bb2
14260b99b6
15177ab2ea
hexf492b2c

256453420 has 48 divisors (see below), whose sum is σ = 548831808. Its totient is φ = 100638720.

The previous prime is 256453363. The next prime is 256453429. The reversal of 256453420 is 24354652.

256453420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256453429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444172 + ... + 444748.

It is an arithmetic number, because the mean of its divisors is an integer number (11433996).

Almost surely, 2256453420 is an apocalyptic number.

256453420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256453420 is an abundant number, since it is smaller than the sum of its proper divisors (292378388).

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

256453420 is a wasteful number, since it uses less digits than its factorization.

256453420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 256453420 is about 16014.1631064505. The cubic root of 256453420 is about 635.3350743620.

The spelling of 256453420 in words is "two hundred fifty-six million, four hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 313 355 577 626 710 1154 1252 1420 1565 2308 2885 3130 5770 6260 11540 22223 40967 44446 81934 88892 111115 163868 180601 204835 222230 361202 409670 444460 722404 819340 903005 1806010 3612020 12822671 25645342 51290684 64113355 128226710 256453420