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131972 = 2232993
BaseRepresentation
bin100000001110000100
320201000212
4200032010
513210342
62454552
71056521
oct401604
9221025
10131972
1190175
1264458
13480b9
1436148
1529182
hex20384

131972 has 6 divisors (see below), whose sum is σ = 230958. Its totient is φ = 65984.

The previous prime is 131969. The next prime is 132001. The reversal of 131972 is 279131.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 50176 = 286^2 + 224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16493 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (38493).

2131972 is an apocalyptic number.

It is an amenable number.

131972 is a deficient number, since it is larger than the sum of its proper divisors (98986).

131972 is a wasteful number, since it uses less digits than its factorization.

131972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32997 (or 32995 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 131972 is about 363.2795067162. The cubic root of 131972 is about 50.9128332901.

The spelling of 131972 in words is "one hundred thirty-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 32993 65986 131972