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131888304 = 2433305297
BaseRepresentation
bin1111101110001…
…11010010110000
3100012011121202000
413313013102300
5232230411204
621030454000
73161014002
oct767072260
9305147660
10131888304
11684a16a9
1238204300
132142a122
1413732372
15b8a3039
hex7dc74b0

131888304 has 40 divisors (see below), whose sum is σ = 378569520. Its totient is φ = 43962624.

The previous prime is 131888303. The next prime is 131888347. The reversal of 131888304 is 403888131.

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

It is not an unprimeable number, because it can be changed into a prime (131888303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152217 + ... + 153080.

It is an arithmetic number, because the mean of its divisors is an integer number (9464238).

Almost surely, 2131888304 is an apocalyptic number.

It is an amenable number.

131888304 is an abundant number, since it is smaller than the sum of its proper divisors (246681216).

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

131888304 is a wasteful number, since it uses less digits than its factorization.

131888304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305314 (or 305302 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 131888304 is about 11484.2633198651. The cubic root of 131888304 is about 509.0206812372.

The spelling of 131888304 in words is "one hundred thirty-one million, eight hundred eighty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 305297 610594 915891 1221188 1831782 2442376 2747673 3663564 4884752 5495346 7327128 8243019 10990692 14654256 16486038 21981384 32972076 43962768 65944152 131888304