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130456032 = 2537227733
BaseRepresentation
bin1111100011010…
…01100111100000
3100002110212000220
413301221213200
5231344043112
620540043040
73142600200
oct761514740
9302425026
10130456032
1167703603
1237833480
1321048225
141347c400
15b6bd98c
hex7c699e0

130456032 has 72 divisors (see below), whose sum is σ = 398371176. Its totient is φ = 37271808.

The previous prime is 130456009. The next prime is 130456057. The reversal of 130456032 is 230654031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130455993 and 130456011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9163 + ... + 18570.

It is an arithmetic number, because the mean of its divisors is an integer number (5532933).

Almost surely, 2130456032 is an apocalyptic number.

130456032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130456032 is an abundant number, since it is smaller than the sum of its proper divisors (267915144).

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

130456032 is a wasteful number, since it uses less digits than its factorization.

130456032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27760 (or 27745 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 130456032 is about 11421.7350695943. The cubic root of 130456032 is about 507.1713607542.

The spelling of 130456032 in words is "one hundred thirty million, four hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 27733 55466 83199 110932 166398 194131 221864 332796 388262 443728 582393 665592 776524 887456 1164786 1331184 1358917 1553048 2329572 2662368 2717834 3106096 4076751 4659144 5435668 6212192 8153502 9318288 10871336 16307004 18636576 21742672 32614008 43485344 65228016 130456032