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130161136 = 2471676959
BaseRepresentation
bin1111100001000…
…01100111110000
3100001220212111211
413300201213300
5231310124021
620525445504
73140231350
oct760414760
9301825454
10130161136
1167521a96
1237710894
1320c73c31
1413402b60
15b6613e1
hex7c219f0

130161136 has 40 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 55441344.

The previous prime is 130161133. The next prime is 130161149. The reversal of 130161136 is 631161031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130161131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15225 + ... + 22183.

It is an arithmetic number, because the mean of its divisors is an integer number (7249536).

Almost surely, 2130161136 is an apocalyptic number.

130161136 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 130161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990720).

130161136 is an abundant number, since it is smaller than the sum of its proper divisors (159820304).

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

130161136 is a wasteful number, since it uses less digits than its factorization.

130161136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 130161136 is about 11408.8183437199. The cubic root of 130161136 is about 506.7889186377.

The spelling of 130161136 in words is "one hundred thirty million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 2338 2672 4676 6959 9352 13918 18704 27836 48713 55672 97426 111344 194852 389704 779408 1162153 2324306 4648612 8135071 9297224 16270142 18594448 32540284 65080568 130161136