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131966460 = 22325733147
BaseRepresentation
bin1111101110110…
…10010111111100
3100012022120221200
413313122113330
5232240411320
621032255500
73161460603
oct767322774
9305276850
10131966460
116854539a
1238241590
1321456882
1413752a3a
15b8bb290
hex7dda5fc

131966460 has 36 divisors (see below), whose sum is σ = 400298808. Its totient is φ = 35191008.

The previous prime is 131966453. The next prime is 131966477. The reversal of 131966460 is 64669131.

131966460 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 6 + 646 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366394 + ... + 366753.

Almost surely, 2131966460 is an apocalyptic number.

131966460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131966460 is an abundant number, since it is smaller than the sum of its proper divisors (268332348).

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

131966460 is a wasteful number, since it uses less digits than its factorization.

131966460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733162 (or 733157 counting only the distinct ones).

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

The square root of 131966460 is about 11487.6655591987. The cubic root of 131966460 is about 509.1212086365.

The spelling of 131966460 in words is "one hundred thirty-one million, nine hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733147 1466294 2199441 2932588 3665735 4398882 6598323 7331470 8797764 10997205 13196646 14662940 21994410 26393292 32991615 43988820 65983230 131966460