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131460696 = 23321996097
BaseRepresentation
bin1111101010111…
…10111001011000
3100011100220011200
413311132321120
5232123220241
621013354200
73154253223
oct765367130
9304326150
10131460696
116822a404
1238038960
132130a5c3
14136605ba
15b81b4b6
hex7d5ee58

131460696 has 48 divisors (see below), whose sum is σ = 374782200. Its totient is φ = 41513472.

The previous prime is 131460671. The next prime is 131460701. The reversal of 131460696 is 696064131.

131460696 is a `hidden beast` number, since 131 + 460 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131460696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46681 + ... + 49416.

Almost surely, 2131460696 is an apocalyptic number.

It is an amenable number.

131460696 is an abundant number, since it is smaller than the sum of its proper divisors (243321504).

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

131460696 is a wasteful number, since it uses less digits than its factorization.

131460696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96128 (or 96121 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 131460696 is about 11465.6310772674. The cubic root of 131460696 is about 508.4699703524.

The spelling of 131460696 in words is "one hundred thirty-one million, four hundred sixty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 96097 192194 288291 384388 576582 768776 864873 1153164 1729746 1825843 2306328 3459492 3651686 5477529 6918984 7303372 10955058 14606744 16432587 21910116 32865174 43820232 65730348 131460696