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130291264 = 2617313863
BaseRepresentation
bin1111100010000…
…01011001000000
3100002011111000101
413301001121000
5231323310024
620532332144
73141312625
oct761013100
9302144011
10130291264
1167600834
1237774054
1320cbb22c
141343834c
15b689c44
hex7c41640

130291264 has 56 divisors (see below), whose sum is σ = 282659328. Its totient is φ = 59320320.

The previous prime is 130291253. The next prime is 130291363. The reversal of 130291264 is 462192031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31797 + ... + 35659.

It is an arithmetic number, because the mean of its divisors is an integer number (5047488).

Almost surely, 2130291264 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 130291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141329664).

130291264 is an abundant number, since it is smaller than the sum of its proper divisors (152368064).

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

130291264 is a wasteful number, since it uses less digits than its factorization.

130291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 130291264 is about 11414.5198760176. The cubic root of 130291264 is about 506.9577490217.

The spelling of 130291264 in words is "one hundred thirty million, two hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 3863 4216 7726 8432 15452 16864 30904 33728 61808 65671 119753 123616 131342 239506 247232 262684 479012 525368 958024 1050736 1916048 2035801 2101472 3832096 4071602 4202944 7664192 8143204 16286408 32572816 65145632 130291264