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131988 = 22317647
BaseRepresentation
bin100000001110010100
320201001110
4200032110
513210423
62455020
71056543
oct401624
9221043
10131988
119018a
1264470
13480cc
143615a
1529193
hex20394

131988 has 24 divisors (see below), whose sum is σ = 326592. Its totient is φ = 41344.

The previous prime is 131969. The next prime is 132001. The reversal of 131988 is 889131.

131988 = T67 + T68 + ... + T102.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

131988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2131988 is an apocalyptic number.

It is an amenable number.

131988 is an abundant number, since it is smaller than the sum of its proper divisors (194604).

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

131988 is a wasteful number, since it uses less digits than its factorization.

131988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 131988 is about 363.3015276599. The cubic root of 131988 is about 50.9148907276.

The spelling of 131988 in words is "one hundred thirty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 647 1294 1941 2588 3882 7764 10999 21998 32997 43996 65994 131988