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130681464 = 23353711447
BaseRepresentation
bin1111100101000…
…00101001111000
3100002220022021020
413302200221320
5231423301324
620544542440
73144526344
oct762405170
9302808236
10130681464
1167847a11
1237921a20
13210c6a14
14134da624
15b715679
hex7ca0a78

130681464 has 64 divisors (see below), whose sum is σ = 337789440. Its totient is φ = 42107520.

The previous prime is 130681409. The next prime is 130681471. The reversal of 130681464 is 464186031.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 89589 + ... + 91035.

It is an arithmetic number, because the mean of its divisors is an integer number (5277960).

Almost surely, 2130681464 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 130681464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168894720).

130681464 is an abundant number, since it is smaller than the sum of its proper divisors (207107976).

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

130681464 is a wasteful number, since it uses less digits than its factorization.

130681464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 130681464 is about 11431.5993631687. The cubic root of 130681464 is about 507.4633284996.

The spelling of 130681464 in words is "one hundred thirty million, six hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 71 106 142 159 212 213 284 318 424 426 568 636 852 1272 1447 1704 2894 3763 4341 5788 7526 8682 11289 11576 15052 17364 22578 30104 34728 45156 76691 90312 102737 153382 205474 230073 306764 308211 410948 460146 613528 616422 821896 920292 1232844 1840584 2465688 5445061 10890122 16335183 21780244 32670366 43560488 65340732 130681464