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256159140 = 223519376073
BaseRepresentation
bin11110100010010…
…10110110100100
3122212000020021120
433101022312210
51011034043030
641230213540
76230213436
oct1721126644
9585006246
10256159140
11121660176
12719542b0
13410bac73
1426040656
151774e010
hexf44ada4

256159140 has 96 divisors (see below), whose sum is σ = 775528320. Its totient is φ = 62954496.

The previous prime is 256159139. The next prime is 256159153. The reversal of 256159140 is 41951652.

256159140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 39144 + ... + 45216.

It is an arithmetic number, because the mean of its divisors is an integer number (8078420).

Almost surely, 2256159140 is an apocalyptic number.

256159140 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 256159140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387764160).

256159140 is an abundant number, since it is smaller than the sum of its proper divisors (519369180).

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

256159140 is a wasteful number, since it uses less digits than its factorization.

256159140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6141 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 256159140 is about 16004.9723523660. The cubic root of 256159140 is about 635.0919659307.

The spelling of 256159140 in words is "two hundred fifty-six million, one hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 6073 7030 8436 10545 12146 14060 18219 21090 24292 30365 36438 42180 60730 72876 91095 115387 121460 182190 224701 230774 346161 364380 449402 461548 576935 674103 692322 898804 1123505 1153870 1348206 1384644 1730805 2247010 2307740 2696412 3370515 3461610 4269319 4494020 6741030 6923220 8538638 12807957 13482060 17077276 21346595 25615914 42693190 51231828 64039785 85386380 128079570 256159140