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130392144 = 24323724473
BaseRepresentation
bin1111100010110…
…10000001010000
3100002100121101200
413301122001100
5231340022034
620534431200
73142213011
oct761320120
9302317350
10130392144
116766a603
1237802500
132102511c
1413463008
15b6a9a99
hex7c5a050

130392144 has 60 divisors (see below), whose sum is σ = 374794836. Its totient is φ = 42287616.

The previous prime is 130392131. The next prime is 130392161. The reversal of 130392144 is 441293031.

130392144 is a `hidden beast` number, since 130 + 392 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110250000 + 20142144 = 10500^2 + 4488^2 .

It is a super-2 number, since 2×1303921442 = 34004222433833472, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6909 + ... + 17564.

Almost surely, 2130392144 is an apocalyptic number.

It is an amenable number.

130392144 is an abundant number, since it is smaller than the sum of its proper divisors (244402692).

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

130392144 is a wasteful number, since it uses less digits than its factorization.

130392144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24524 (or 24515 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130392144 is about 11418.9379541181. The cubic root of 130392144 is about 507.0885551932.

The spelling of 130392144 in words is "one hundred thirty million, three hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 24473 48946 73419 97892 146838 195784 220257 293676 391568 440514 587352 881028 905501 1174704 1762056 1811002 2716503 3524112 3622004 5433006 7244008 8149509 10866012 14488016 16299018 21732024 32598036 43464048 65196072 130392144