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256241460 = 2235107167239
BaseRepresentation
bin11110100010111…
…10111100110100
3122212011102012110
433101132330310
51011044211320
641232051020
76231005436
oct1721367464
9585142173
10256241460
11121707002
1271993a70
1341119587
1426062656
15177685e0
hexf45ef34

256241460 has 96 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 67005568.

The previous prime is 256241449. The next prime is 256241471. The reversal of 256241460 is 64142652.

It is an interprime number because it is at equal distance from previous prime (256241449) and next prime (256241471).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1072021 + ... + 1072259.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2256241460 is an apocalyptic number.

256241460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

256241460 is an abundant number, since it is smaller than the sum of its proper divisors (475324620).

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

256241460 is a wasteful number, since it uses less digits than its factorization.

256241460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 256241460 is about 16007.5438465743. The cubic root of 256241460 is about 635.1599902733.

The spelling of 256241460 in words is "two hundred fifty-six million, two hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 167 214 239 321 334 428 478 501 535 642 668 717 835 956 1002 1070 1195 1284 1434 1605 1670 2004 2140 2390 2505 2868 3210 3340 3585 4780 5010 6420 7170 10020 14340 17869 25573 35738 39913 51146 53607 71476 76719 79826 89345 102292 107214 119739 127865 153438 159652 178690 199565 214428 239478 255730 268035 306876 357380 383595 399130 478956 511460 536070 598695 767190 798260 1072140 1197390 1534380 2394780 4270691 8541382 12812073 17082764 21353455 25624146 42706910 51248292 64060365 85413820 128120730 256241460