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256682970 = 232519150107
BaseRepresentation
bin11110100110010…
…10101111011010
3122212222211211200
433103022233122
51011202323340
641245335030
76234524565
oct1723125732
9585884750
10256682970
11121988795
1271b67476
134124251b
14261394dc
1517804330
hexf4cabda

256682970 has 48 divisors (see below), whose sum is σ = 702505440. Its totient is φ = 64845792.

The previous prime is 256682969. The next prime is 256682971. The reversal of 256682970 is 79286652.

256682970 is a `hidden beast` number, since 2 + 566 + 82 + 9 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256682969) and next prime (256682971).

It is a super-2 number, since 2×2566829702 = 131772294176041800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256682971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73344 + ... + 76763.

It is an arithmetic number, because the mean of its divisors is an integer number (14635530).

Almost surely, 2256682970 is an apocalyptic number.

256682970 is an abundant number, since it is smaller than the sum of its proper divisors (445822470).

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

256682970 is a wasteful number, since it uses less digits than its factorization.

256682970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150139 (or 150136 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 256682970 is about 16021.3285965927. The cubic root of 256682970 is about 635.5245794374.

The spelling of 256682970 in words is "two hundred fifty-six million, six hundred eighty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 150107 300214 450321 750535 900642 1350963 1501070 2251605 2701926 2852033 4503210 5704066 6754815 8556099 13509630 14260165 17112198 25668297 28520330 42780495 51336594 85560990 128341485 256682970