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131673632 = 2541100361
BaseRepresentation
bin1111101100100…
…10111000100000
3100011202201021012
413312102320200
5232202024012
621022120052
73156131066
oct766227040
9304681235
10131673632
1168365392
1238120028
13213834bc
14136b8036
15b85e622
hex7d92e20

131673632 has 24 divisors (see below), whose sum is σ = 265557852. Its totient is φ = 64230400.

The previous prime is 131673613. The next prime is 131673637. The reversal of 131673632 is 236376131.

It can be written as a sum of positive squares in 2 ways, for example, as 101687056 + 29986576 = 10084^2 + 5476^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (131673637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48869 + ... + 51492.

Almost surely, 2131673632 is an apocalyptic number.

It is an amenable number.

131673632 is an abundant number, since it is smaller than the sum of its proper divisors (133884220).

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

131673632 is a wasteful number, since it uses less digits than its factorization.

131673632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100412 (or 100404 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 131673632 is about 11474.9131587128. The cubic root of 131673632 is about 508.7443569413.

The spelling of 131673632 in words is "one hundred thirty-one million, six hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 100361 200722 401444 802888 1605776 3211552 4114801 8229602 16459204 32918408 65836816 131673632