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130240656 = 24337133313
BaseRepresentation
bin1111100001101…
…01000010010000
3100002001220121000
413300311002100
5231320200111
620531302000
73141012240
oct760650220
9302056530
10130240656
1167576807
123774a900
1320ca11a0
1413423b20
15b679c56
hex7c35090

130240656 has 160 divisors (see below), whose sum is σ = 460248320. Its totient is φ = 34338816.

The previous prime is 130240633. The next prime is 130240681. The reversal of 130240656 is 656042031.

130240656 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 4 + 0 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37656 + ... + 40968.

It is an arithmetic number, because the mean of its divisors is an integer number (2876552).

Almost surely, 2130240656 is an apocalyptic number.

130240656 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 130240656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230124160).

130240656 is an abundant number, since it is smaller than the sum of its proper divisors (330007664).

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

130240656 is a wasteful number, since it uses less digits than its factorization.

130240656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130240656 is about 11412.3028350986. The cubic root of 130240656 is about 506.8921026653.

Adding to 130240656 its reverse (656042031), we get a palindrome (786282687).

The spelling of 130240656 in words is "one hundred thirty million, two hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 3313 4368 4914 5616 6552 6626 9828 9939 13104 13252 19656 19878 23191 26504 29817 39312 39756 43069 46382 53008 59634 69573 79512 86138 89451 92764 119268 129207 139146 159024 172276 178902 185528 208719 238536 258414 278292 301483 344552 357804 371056 387621 417438 477072 516828 556584 602966 626157 689104 715608 775242 834876 904449 1033656 1113168 1162863 1205932 1252314 1431216 1550484 1669752 1808898 2067312 2325726 2411864 2504628 2713347 3100968 3339504 3617796 4651452 4823728 5009256 5426694 6201936 7235592 8140041 9302904 10018512 10853388 14471184 16280082 18605808 21706776 32560164 43413552 65120328 130240656