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131198992 = 2423541659
BaseRepresentation
bin1111101000111…
…11000000010000
3100010212121011221
413310133000100
5232041331432
621004014424
73152113231
oct764370020
9303777157
10131198992
1168070821
1237b31414
1321248452
14135d3088
15b7b8b97
hex7d1f010

131198992 has 40 divisors (see below), whose sum is σ = 266143680. Its totient is φ = 62536320.

The previous prime is 131198981. The next prime is 131199007. The reversal of 131198992 is 299891131.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198759 + ... + 199417.

It is an arithmetic number, because the mean of its divisors is an integer number (6653592).

Almost surely, 2131198992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131198992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133071840).

131198992 is an abundant number, since it is smaller than the sum of its proper divisors (134944688).

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

131198992 is a wasteful number, since it uses less digits than its factorization.

131198992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its digits is 34992, while the sum is 43.

The square root of 131198992 is about 11454.2128494279. The cubic root of 131198992 is about 508.1323357878.

The spelling of 131198992 in words is "one hundred thirty-one million, one hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 541 659 1082 1318 2164 2636 4328 5272 8656 10544 12443 15157 24886 30314 49772 60628 99544 121256 199088 242512 356519 713038 1426076 2852152 5704304 8199937 16399874 32799748 65599496 131198992