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137423628 = 2234424147
BaseRepresentation
bin10000011000011…
…10101100001100
3100120120211210000
420030032230030
5240140024003
621345244300
73256036656
oct1014165414
9316524700
10137423628
1170632451
123a033690
1322617774
14143736d6
15c0e81a3
hex830eb0c

137423628 has 30 divisors (see below), whose sum is σ = 359253356. Its totient is φ = 45807768.

The previous prime is 137423609. The next prime is 137423653. The reversal of 137423628 is 826324731.

It is a happy number.

137423628 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 23 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 137423592 and 137423601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 211750 + ... + 212397.

Almost surely, 2137423628 is an apocalyptic number.

137423628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137423628 is an abundant number, since it is smaller than the sum of its proper divisors (221829728).

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

137423628 is a wasteful number, since it uses less digits than its factorization.

137423628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424163 (or 424152 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 137423628 is about 11722.7824342176. The cubic root of 137423628 is about 516.0444796703.

The spelling of 137423628 in words is "one hundred thirty-seven million, four hundred twenty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 424147 848294 1272441 1696588 2544882 3817323 5089764 7634646 11451969 15269292 22903938 34355907 45807876 68711814 137423628