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138805464 = 23372393457
BaseRepresentation
bin10000100011000…
…00000011011000
3100200012001022010
420101200003120
5241013233324
621435025520
73303553440
oct1021400330
9320161263
10138805464
1171396666
123a59b2a0
13229ac715
1414613120
15c2bc829
hex84600d8

138805464 has 64 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 39481344.

The previous prime is 138805451. The next prime is 138805481. The reversal of 138805464 is 464508831.

It is a congruent number.

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, 38424 + ... + 41880.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2138805464 is an apocalyptic number.

138805464 is a gapful number since it is divisible by the number (14) 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 138805464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

138805464 is an abundant number, since it is smaller than the sum of its proper divisors (259556136).

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

138805464 is a wasteful number, since it uses less digits than its factorization.

138805464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 138805464 is about 11781.5730698409. The cubic root of 138805464 is about 517.7683753477.

The spelling of 138805464 in words is "one hundred thirty-eight million, eight hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 239 478 717 956 1434 1673 1912 2868 3346 3457 5019 5736 6692 6914 10038 10371 13384 13828 20076 20742 24199 27656 40152 41484 48398 72597 82968 96796 145194 193592 290388 580776 826223 1652446 2478669 3304892 4957338 5783561 6609784 9914676 11567122 17350683 19829352 23134244 34701366 46268488 69402732 138805464