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137665010 = 2572280949
BaseRepresentation
bin10000011010010…
…01100111110010
3100121001002220002
420031021213302
5240220240020
621354350002
73261063500
oct1015114762
9317032802
10137665010
117078783a
123a12b302
13226a05b2
14143d7670
15c144975
hex83499f2

137665010 has 24 divisors (see below), whose sum is σ = 288254700. Its totient is φ = 47199264.

The previous prime is 137665007. The next prime is 137665027. The reversal of 137665010 is 10566731.

It can be written as a sum of positive squares in 2 ways, for example, as 124970041 + 12694969 = 11179^2 + 3563^2 .

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 11 ways as a sum of consecutive naturals, for example, 139985 + ... + 140964.

Almost surely, 2137665010 is an apocalyptic number.

137665010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137665010 is an abundant number, since it is smaller than the sum of its proper divisors (150589690).

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

137665010 is a wasteful number, since it uses less digits than its factorization.

137665010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280970 (or 280963 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 137665010 is about 11733.0733399225. The cubic root of 137665010 is about 516.3464437264.

The spelling of 137665010 in words is "one hundred thirty-seven million, six hundred sixty-five thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 280949 561898 1404745 1966643 2809490 3933286 9833215 13766501 19666430 27533002 68832505 137665010