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131607640 = 2354916701
BaseRepresentation
bin1111101100000…
…10110001011000
3100011122100202001
413312002301120
5232142421030
621020450344
73155434513
oct766026130
9304570661
10131607640
116831a84a
12380a99b4
132135c458
141369bd7a
15b849cca
hex7d82c58

131607640 has 32 divisors (see below), whose sum is σ = 296764560. Its totient is φ = 52528000.

The previous prime is 131607613. The next prime is 131607691. The reversal of 131607640 is 46706131.

It is a junction number, because it is equal to n+sod(n) for n = 131607599 and 131607608.

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 7 ways as a sum of consecutive naturals, for example, 16290 + ... + 22990.

Almost surely, 2131607640 is an apocalyptic number.

131607640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131607640 is an abundant number, since it is smaller than the sum of its proper divisors (165156920).

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

131607640 is a wasteful number, since it uses less digits than its factorization.

131607640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 131607640 is about 11472.0373081681. The cubic root of 131607640 is about 508.6593521524.

The spelling of 131607640 in words is "one hundred thirty-one million, six hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 491 982 1964 2455 3928 4910 6701 9820 13402 19640 26804 33505 53608 67010 134020 268040 3290191 6580382 13160764 16450955 26321528 32901910 65803820 131607640