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132731952 = 2434096761
BaseRepresentation
bin1111110100101…
…01010000110000
3100020202111000020
413322111100300
5232434410302
621100523440
73201126423
oct772252060
9306674006
10132731952
1168a18531
1238550580
1321664122
14138b19ba
15b9bcebc
hex7e95430

132731952 has 40 divisors (see below), whose sum is σ = 343780080. Its totient is φ = 44129280.

The previous prime is 132731939. The next prime is 132731957. The reversal of 132731952 is 259137231.

It is not an unprimeable number, because it can be changed into a prime (132731957) 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 7 ways as a sum of consecutive naturals, for example, 16252 + ... + 23012.

It is an arithmetic number, because the mean of its divisors is an integer number (8594502).

Almost surely, 2132731952 is an apocalyptic number.

132731952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132731952 is an abundant number, since it is smaller than the sum of its proper divisors (211048128).

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

132731952 is a wasteful number, since it uses less digits than its factorization.

132731952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181 (or 7175 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 132731952 is about 11520.9353786921. The cubic root of 132731952 is about 510.1037236169.

It can be divided in two parts, 13273 and 1952, that added together give a triangular number (15225 = T174).

The spelling of 132731952 in words is "one hundred thirty-two million, seven hundred thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 409 818 1227 1636 2454 3272 4908 6544 6761 9816 13522 19632 20283 27044 40566 54088 81132 108176 162264 324528 2765249 5530498 8295747 11060996 16591494 22121992 33182988 44243984 66365976 132731952