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137686440 = 23351147387
BaseRepresentation
bin10000011010011…
…10110110101000
3100121002012021210
420031032312220
5240221431230
621355033120
73261213123
oct1015166650
9317065253
10137686440
11707a1951
123a13b7a0
13226aa288
14144013ba
15c14aeb0
hex834eda8

137686440 has 32 divisors (see below), whose sum is σ = 413059680. Its totient is φ = 36716352.

The previous prime is 137686429. The next prime is 137686463. The reversal of 137686440 is 44686731.

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, 573574 + ... + 573813.

It is an arithmetic number, because the mean of its divisors is an integer number (12908115).

Almost surely, 2137686440 is an apocalyptic number.

137686440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137686440 is an abundant number, since it is smaller than the sum of its proper divisors (275373240).

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

137686440 is a wasteful number, since it uses less digits than its factorization.

137686440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147401 (or 1147397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 137686440 is about 11733.9865348482. The cubic root of 137686440 is about 516.3732351630.

The spelling of 137686440 in words is "one hundred thirty-seven million, six hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1147387 2294774 3442161 4589548 5736935 6884322 9179096 11473870 13768644 17210805 22947740 27537288 34421610 45895480 68843220 137686440