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130024356 = 2237111091291
BaseRepresentation
bin1111100000000…
…00001110100100
3100001122220212220
413300000032210
5231241234411
620522512340
73136121520
oct760001644
9301586786
10130024356
1167439250
12376656b0
1320c268b7
14133a8d80
15b635b06
hex7c003a4

130024356 has 96 divisors (see below), whose sum is σ = 382018560. Its totient is φ = 33436800.

The previous prime is 130024343. The next prime is 130024357. The reversal of 130024356 is 653420031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130024357) 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, 100071 + ... + 101361.

It is an arithmetic number, because the mean of its divisors is an integer number (3979360).

Almost surely, 2130024356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130024356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191009280).

130024356 is an abundant number, since it is smaller than the sum of its proper divisors (251994204).

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

130024356 is a wasteful number, since it uses less digits than its factorization.

130024356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 130024356 is about 11402.8222822247. The cubic root of 130024356 is about 506.6113364864.

Adding to 130024356 its reverse (653420031), we get a palindrome (783444387).

The spelling of 130024356 in words is "one hundred thirty million, twenty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 109 132 154 218 231 308 327 436 462 654 763 924 1199 1291 1308 1526 2289 2398 2582 3052 3597 3873 4578 4796 5164 7194 7746 8393 9037 9156 14201 14388 15492 16786 18074 25179 27111 28402 33572 36148 42603 50358 54222 56804 85206 99407 100716 108444 140719 170412 198814 281438 298221 397628 422157 562876 596442 844314 985033 1192884 1547909 1688628 1970066 2955099 3095818 3940132 4643727 5910198 6191636 9287454 10835363 11820396 18574908 21670726 32506089 43341452 65012178 130024356