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130059468 = 223271146919
BaseRepresentation
bin1111100000010…
…00110011001100
3100001201201001100
413300020303030
5231243400333
620523343100
73136326060
oct760106314
9301651040
10130059468
1167462670
1237681a90
1320c39886
14133b7aa0
15b641213
hex7c08ccc

130059468 has 72 divisors (see below), whose sum is σ = 409893120. Its totient is φ = 33780960.

The previous prime is 130059467. The next prime is 130059473. The reversal of 130059468 is 864950031.

130059468 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 594 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130059467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20688 + ... + 26231.

It is an arithmetic number, because the mean of its divisors is an integer number (5692960).

Almost surely, 2130059468 is an apocalyptic number.

130059468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130059468 is an abundant number, since it is smaller than the sum of its proper divisors (279833652).

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

130059468 is a wasteful number, since it uses less digits than its factorization.

130059468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46947 (or 46942 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130059468 is about 11404.3617971371. The cubic root of 130059468 is about 506.6569344468.

The spelling of 130059468 in words is "one hundred thirty million, fifty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 46919 93838 140757 187676 281514 328433 422271 516109 563028 656866 844542 985299 1032218 1313732 1548327 1689084 1970598 2064436 2955897 3096654 3612763 3941196 4644981 5911794 6193308 7225526 9289962 10838289 11823588 14451052 18579924 21676578 32514867 43353156 65029734 130059468