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138415356 = 223210633617
BaseRepresentation
bin10000100000000…
…00110011111100
3100122110020011200
420100000303330
5240413242411
621422415500
73300340212
oct1020006374
9318406150
10138415356
117114a562
123a431590
13228a3ca1
1414550cb2
15c241e56
hex8400cfc

138415356 has 36 divisors (see below), whose sum is σ = 350309232. Its totient is φ = 46082304.

The previous prime is 138415351. The next prime is 138415363. The reversal of 138415356 is 653514831.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138415356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138415351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36460 + ... + 40076.

It is an arithmetic number, because the mean of its divisors is an integer number (9730812).

Almost surely, 2138415356 is an apocalyptic number.

It is an amenable number.

138415356 is an abundant number, since it is smaller than the sum of its proper divisors (211893876).

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

138415356 is a wasteful number, since it uses less digits than its factorization.

138415356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4685 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 138415356 is about 11765.0055673595. The cubic root of 138415356 is about 517.2828634663.

The spelling of 138415356 in words is "one hundred thirty-eight million, four hundred fifteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1063 2126 3189 3617 4252 6378 7234 9567 10851 12756 14468 19134 21702 32553 38268 43404 65106 130212 3844871 7689742 11534613 15379484 23069226 34603839 46138452 69207678 138415356