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130935312 = 2433303091
BaseRepresentation
bin1111100110111…
…10101000010000
3100010101012111000
413303132220100
5232004412222
620554222000
73146634414
oct763365020
9303335430
10130935312
1167a00702
1237a24900
1321185421
1413564d44
15b7659ac
hex7cdea10

130935312 has 40 divisors (see below), whose sum is σ = 375834080. Its totient is φ = 43644960.

The previous prime is 130935293. The next prime is 130935347. The reversal of 130935312 is 213539031.

It is a happy number.

130935312 is a `hidden beast` number, since 1 + 309 + 353 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 151114 + ... + 151977.

It is an arithmetic number, because the mean of its divisors is an integer number (9395852).

Almost surely, 2130935312 is an apocalyptic number.

130935312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130935312 is an abundant number, since it is smaller than the sum of its proper divisors (244898768).

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

130935312 is a wasteful number, since it uses less digits than its factorization.

130935312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303108 (or 303096 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 130935312 is about 11442.6968849131. The cubic root of 130935312 is about 507.7916975153.

The spelling of 130935312 in words is "one hundred thirty million, nine hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 303091 606182 909273 1212364 1818546 2424728 2727819 3637092 4849456 5455638 7274184 8183457 10911276 14548368 16366914 21822552 32733828 43645104 65467656 130935312