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131473692 = 2237719113
BaseRepresentation
bin1111101011000…
…10000100011100
3100011101120000000
413311202010130
5232124124232
621013534300
73154336140
oct765420434
9304346000
10131473692
1168239149
1238044390
13213134ac
1413665220
15b82027c
hex7d6211c

131473692 has 192 divisors, whose sum is σ = 418790400. Its totient is φ = 35271936.

The previous prime is 131473679. The next prime is 131473721. The reversal of 131473692 is 296374131.

It is a super-2 number, since 2×1314736922 = 34570663376221728, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27216) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1163428 + ... + 1163540.

It is an arithmetic number, because the mean of its divisors is an integer number (2181200).

Almost surely, 2131473692 is an apocalyptic number.

131473692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131473692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209395200).

131473692 is an abundant number, since it is smaller than the sum of its proper divisors (287316708).

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

131473692 is a wasteful number, since it uses less digits than its factorization.

131473692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 131473692 is about 11466.1978004917. The cubic root of 131473692 is about 508.4867253172.

The spelling of 131473692 in words is "one hundred thirty-one million, four hundred seventy-three thousand, six hundred ninety-two".