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138756330 = 23256723011
BaseRepresentation
bin10000100010101…
…00000011101010
3100200002112220100
420101110003222
5241010200310
621434010230
73303260256
oct1021240352
9320075810
10138756330
1171362759
123a576976
132299324b
14145dd266
15c2acec0
hex84540ea

138756330 has 48 divisors (see below), whose sum is σ = 366166944. Its totient is φ = 36447840.

The previous prime is 138756323. The next prime is 138756349. The reversal of 138756330 is 33657831.

138756330 is a `hidden beast` number, since 13 + 8 + 7 + 5 + 633 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5476 + ... + 17535.

It is an arithmetic number, because the mean of its divisors is an integer number (7628478).

Almost surely, 2138756330 is an apocalyptic number.

138756330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138756330 is an abundant number, since it is smaller than the sum of its proper divisors (227410614).

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

138756330 is a wasteful number, since it uses less digits than its factorization.

138756330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23091 (or 23088 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 138756330 is about 11779.4876798611. The cubic root of 138756330 is about 517.7072753666.

The spelling of 138756330 in words is "one hundred thirty-eight million, seven hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 23011 46022 69033 115055 138066 207099 230110 345165 414198 690330 1035495 1541737 2070990 3083474 4625211 7708685 9250422 13875633 15417370 23126055 27751266 46252110 69378165 138756330