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130600256 = 2617223307
BaseRepresentation
bin1111100100011…
…00110101000000
3100002202011212112
413302030311000
5231413202011
620543114452
73144040523
oct762146500
9302664775
10130600256
11677a19a6
12378a2a28
1321098a77
14134b8bba
15b6eb58b
hex7c8cd40

130600256 has 84 divisors (see below), whose sum is σ = 288206688. Its totient is φ = 58595328.

The previous prime is 130600247. The next prime is 130600259. The reversal of 130600256 is 652006031.

130600256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130600259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425255 + ... + 425561.

It is an arithmetic number, because the mean of its divisors is an integer number (3431032).

Almost surely, 2130600256 is an apocalyptic number.

130600256 is a gapful number since it is divisible by the number (16) 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 130600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144103344).

130600256 is an abundant number, since it is smaller than the sum of its proper divisors (157606432).

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

130600256 is a wasteful number, since it uses less digits than its factorization.

130600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 130600256 is about 11428.0469022489. The cubic root of 130600256 is about 507.3581908620.

Adding to 130600256 its reverse (652006031), we get a palindrome (782606287).

The spelling of 130600256 in words is "one hundred thirty million, six hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 289 307 368 391 544 578 614 736 782 1088 1156 1228 1472 1564 2312 2456 3128 4624 4912 5219 6256 6647 7061 9248 9824 10438 12512 13294 14122 18496 19648 20876 25024 26588 28244 41752 53176 56488 83504 88723 106352 112976 120037 167008 177446 212704 225952 240074 334016 354892 425408 451904 480148 709784 960296 1419568 1920592 2040629 2839136 3841184 4081258 5678272 7682368 8162516 16325032 32650064 65300128 130600256