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256921080 = 2335131571049
BaseRepresentation
bin11110101000001…
…00110111111000
3122220102221110120
433110010313320
51011232433310
641254413240
76236536023
oct1724046770
9586387416
10256921080
11122030679
1272061220
13412c6a10
142619c1ba
151784eb70
hexf504df8

256921080 has 128 divisors (see below), whose sum is σ = 836136000. Its totient is φ = 62779392.

The previous prime is 256921069. The next prime is 256921099. The reversal of 256921080 is 80129652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244396 + ... + 245444.

Almost surely, 2256921080 is an apocalyptic number.

256921080 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 256921080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418068000).

256921080 is an abundant number, since it is smaller than the sum of its proper divisors (579214920).

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

256921080 is a wasteful number, since it uses less digits than its factorization.

256921080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 256921080 is about 16028.7579057143. The cubic root of 256921080 is about 635.7210318808.

The spelling of 256921080 in words is "two hundred fifty-six million, nine hundred twenty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 312 314 390 471 520 628 780 785 942 1049 1256 1560 1570 1884 2041 2098 2355 3140 3147 3768 4082 4196 4710 5245 6123 6280 6294 8164 8392 9420 10205 10490 12246 12588 13637 15735 16328 18840 20410 20980 24492 25176 27274 30615 31470 40820 40911 41960 48984 54548 61230 62940 68185 81640 81822 109096 122460 125880 136370 163644 164693 204555 244920 272740 327288 329386 409110 494079 545480 658772 818220 823465 988158 1317544 1636440 1646930 1976316 2141009 2470395 3293860 3952632 4282018 4940790 6423027 6587720 8564036 9881580 10705045 12846054 17128072 19763160 21410090 25692108 32115135 42820180 51384216 64230270 85640360 128460540 256921080