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137631720 = 23351146931
BaseRepresentation
bin10000011010000…
…01011111101000
3100120222102020010
420031001133220
5240213203340
621353531520
73260564442
oct1015013750
9316872203
10137631720
1170764826
123a113ba0
132268b3b5
14143c9492
15c139b80
hex83417e8

137631720 has 32 divisors (see below), whose sum is σ = 412895520. Its totient is φ = 36701760.

The previous prime is 137631671. The next prime is 137631721. The reversal of 137631720 is 27136731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (137631721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573346 + ... + 573585.

It is an arithmetic number, because the mean of its divisors is an integer number (12902985).

Almost surely, 2137631720 is an apocalyptic number.

137631720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137631720 is an abundant number, since it is smaller than the sum of its proper divisors (275263800).

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

137631720 is a wasteful number, since it uses less digits than its factorization.

137631720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146945 (or 1146941 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 137631720 is about 11731.6546147592. The cubic root of 137631720 is about 516.3048195963.

The spelling of 137631720 in words is "one hundred thirty-seven million, six hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1146931 2293862 3440793 4587724 5734655 6881586 9175448 11469310 13763172 17203965 22938620 27526344 34407930 45877240 68815860 137631720