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138126330 = 2335511579
BaseRepresentation
bin10000011101110…
…10001111111010
3100121220112201000
420032322033322
5240330020310
621412305430
73265024446
oct1016721772
9317815630
10138126330
1170a723a1
123a312276
1322802574
14144b7826
15c1d64c0
hex83ba3fa

138126330 has 32 divisors (see below), whose sum is σ = 368337600. Its totient is φ = 36833616.

The previous prime is 138126323. The next prime is 138126379. The reversal of 138126330 is 33621831.

It is a happy number.

138126330 is a `hidden beast` number, since 13 + 8 + 12 + 633 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138126294 and 138126303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255520 + ... + 256059.

It is an arithmetic number, because the mean of its divisors is an integer number (11510550).

Almost surely, 2138126330 is an apocalyptic number.

138126330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138126330 is an abundant number, since it is smaller than the sum of its proper divisors (230211270).

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

138126330 is a wasteful number, since it uses less digits than its factorization.

138126330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511595 (or 511589 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 138126330 is about 11752.7158563457. The cubic root of 138126330 is about 516.9225653387.

The spelling of 138126330 in words is "one hundred thirty-eight million, one hundred twenty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 511579 1023158 1534737 2557895 3069474 4604211 5115790 7673685 9208422 13812633 15347370 23021055 27625266 46042110 69063165 138126330