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131452704 = 25321726849
BaseRepresentation
bin1111101010111…
…00111100100000
3100011100111012200
413311130330200
5232122441304
621013253200
73154221015
oct765347440
9304314180
10131452704
11682243a9
1238034200
1321306a86
141365b70c
15b818e39
hex7d5cf20

131452704 has 72 divisors (see below), whose sum is σ = 395822700. Its totient is φ = 41238528.

The previous prime is 131452703. The next prime is 131452709. The reversal of 131452704 is 407254131.

131452704 is a `hidden beast` number, since 131 + 4 + 527 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131331600 + 121104 = 11460^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131452703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8529 + ... + 18320.

Almost surely, 2131452704 is an apocalyptic number.

It is an amenable number.

131452704 is an abundant number, since it is smaller than the sum of its proper divisors (264369996).

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

131452704 is a wasteful number, since it uses less digits than its factorization.

131452704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26882 (or 26871 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 131452704 is about 11465.2825521223. The cubic root of 131452704 is about 508.4596661969.

The spelling of 131452704 in words is "one hundred thirty-one million, four hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 26849 53698 80547 107396 161094 214792 241641 322188 429584 456433 483282 644376 859168 912866 966564 1288752 1369299 1825732 1933128 2577504 2738598 3651464 3866256 4107897 5477196 7302928 7732512 8215794 10954392 14605856 16431588 21908784 32863176 43817568 65726352 131452704