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130314296 = 23737109577
BaseRepresentation
bin1111100010001…
…11000000111000
3100002012122121102
413301013000320
5231330024141
620533030532
73141440030
oct761070070
9302178542
10130314296
1167617072
1237785448
1320cc8868
14134428c0
15b69199b
hex7c47038

130314296 has 64 divisors (see below), whose sum is σ = 289924800. Its totient is φ = 53747712.

The previous prime is 130314269. The next prime is 130314311. The reversal of 130314296 is 692413031.

130314296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225560 + ... + 226136.

It is an arithmetic number, because the mean of its divisors is an integer number (4530075).

Almost surely, 2130314296 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 130314296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144962400).

130314296 is an abundant number, since it is smaller than the sum of its proper divisors (159610504).

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

130314296 is a wasteful number, since it uses less digits than its factorization.

130314296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 130314296 is about 11415.5287218771. The cubic root of 130314296 is about 506.9876194381.

The spelling of 130314296 in words is "one hundred thirty million, three hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 37 56 74 109 148 218 259 296 436 518 577 763 872 1036 1154 1526 2072 2308 3052 4033 4039 4616 6104 8066 8078 16132 16156 21349 28231 32264 32312 42698 56462 62893 85396 112924 125786 149443 170792 225848 251572 298886 440251 503144 597772 880502 1195544 1761004 2327041 3522008 4654082 9308164 16289287 18616328 32578574 65157148 130314296