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138905296 = 2431614591
BaseRepresentation
bin10000100011110…
…00011011010000
3100200101010020121
420101320123100
5241024432141
621441120024
73304450465
oct1021703320
9320333217
10138905296
1171454672
123a629014
1322a15caa
141463b66c
15c2dc1d1
hex84786d0

138905296 has 40 divisors (see below), whose sum is σ = 282426368. Its totient is φ = 66096000.

The previous prime is 138905281. The next prime is 138905339. The reversal of 138905296 is 692509831.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27961 + ... + 32551.

Almost surely, 2138905296 is an apocalyptic number.

138905296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138905296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141213184).

138905296 is an abundant number, since it is smaller than the sum of its proper divisors (143521072).

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

138905296 is a wasteful number, since it uses less digits than its factorization.

138905296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 138905296 is about 11785.8090939910. The cubic root of 138905296 is about 517.8924758063.

The spelling of 138905296 in words is "one hundred thirty-eight million, nine hundred five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 976 1891 3782 4591 7564 9182 15128 18364 30256 36728 73456 142321 280051 284642 560102 569284 1120204 1138568 2240408 2277136 4480816 8681581 17363162 34726324 69452648 138905296