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138854096 = 2417230029
BaseRepresentation
bin10000100011010…
…11111011010000
3100200021112000022
420101223323100
5241021312341
621440043012
73304145303
oct1021537320
9320245008
10138854096
117141a157
123a603468
13229c88b4
1414626b3a
15c2cbe4b
hex846bed0

138854096 has 30 divisors (see below), whose sum is σ = 285795510. Its totient is φ = 65340928.

The previous prime is 138854087. The next prime is 138854123. The reversal of 138854096 is 690458831.

It can be written as a sum of positive squares in 3 ways, for example, as 101203600 + 37650496 = 10060^2 + 6136^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 10391 + ... + 19638.

It is an arithmetic number, because the mean of its divisors is an integer number (9526517).

Almost surely, 2138854096 is an apocalyptic number.

138854096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138854096 is an abundant number, since it is smaller than the sum of its proper divisors (146941414).

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

138854096 is a wasteful number, since it uses less digits than its factorization.

138854096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30071 (or 30048 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 138854096 is about 11783.6367900576. The cubic root of 138854096 is about 517.8288368760.

The spelling of 138854096 in words is "one hundred thirty-eight million, eight hundred fifty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 30029 60058 120116 240232 480464 510493 1020986 2041972 4083944 8167888 8678381 17356762 34713524 69427048 138854096