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138836840 = 2357614561
BaseRepresentation
bin10000100011001…
…11101101101000
3100200020122100012
420101213231220
5241020234330
621435431052
73304044062
oct1021475550
9320218305
10138836840
117140819a
123a5b5488
13229c0a9c
1414620732
15c2c6c95
hex8467b68

138836840 has 32 divisors (see below), whose sum is σ = 312861960. Its totient is φ = 55449600.

The previous prime is 138836777. The next prime is 138836843. The reversal of 138836840 is 48638831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51638596 + 87198244 = 7186^2 + 9338^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138836843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28160 + ... + 32720.

Almost surely, 2138836840 is an apocalyptic number.

138836840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138836840 is an abundant number, since it is smaller than the sum of its proper divisors (174025120).

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

138836840 is a wasteful number, since it uses less digits than its factorization.

138836840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 138836840 is about 11782.9045655135. The cubic root of 138836840 is about 517.8073850431.

The spelling of 138836840 in words is "one hundred thirty-eight million, eight hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 761 1522 3044 3805 4561 6088 7610 9122 15220 18244 22805 30440 36488 45610 91220 182440 3470921 6941842 13883684 17354605 27767368 34709210 69418420 138836840