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256643660 = 225713236131
BaseRepresentation
bin11110100110000…
…01001001001100
3122212220211220202
433103001021030
51011200044120
641244433032
76234302150
oct1723011114
9585824822
10256643660
111219611a9
1271b48778
134122a670
1426129060
15177e7875
hexf4c124c

256643660 has 96 divisors (see below), whose sum is σ = 692278272. Its totient is φ = 77679360.

The previous prime is 256643627. The next prime is 256643669. The reversal of 256643660 is 66346652.

It is not an unprimeable number, because it can be changed into a prime (256643669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38795 + ... + 44925.

It is an arithmetic number, because the mean of its divisors is an integer number (7211232).

Almost surely, 2256643660 is an apocalyptic number.

256643660 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 256643660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346139136).

256643660 is an abundant number, since it is smaller than the sum of its proper divisors (435634612).

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

256643660 is a wasteful number, since it uses less digits than its factorization.

256643660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 256643660 is about 16020.1017474921. The cubic root of 256643660 is about 635.4921350740.

The spelling of 256643660 in words is "two hundred fifty-six million, six hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3220 4186 5980 6131 8372 10465 12262 20930 24524 30655 41860 42917 61310 79703 85834 122620 141013 159406 171668 214585 282026 318812 398515 429170 557921 564052 705065 797030 858340 987091 1115842 1410130 1594060 1833169 1974182 2231684 2789605 2820260 3666338 3948364 4935455 5579210 7332676 9165845 9870910 11158420 12832183 18331690 19741820 25664366 36663380 51328732 64160915 128321830 256643660