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138520920 = 23354912351
BaseRepresentation
bin10000100000110…
…10100101011000
3100122122120222110
420100122211120
5240430132140
621424552320
73301260036
oct1020324530
9318576873
10138520920
11712118aa
123a4826a0
1322910055
141457b556
15c263380
hex841a958

138520920 has 64 divisors (see below), whose sum is σ = 416586240. Its totient is φ = 36848000.

The previous prime is 138520909. The next prime is 138520939. The reversal of 138520920 is 29025831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 57745 + ... + 60095.

It is an arithmetic number, because the mean of its divisors is an integer number (6509160).

Almost surely, 2138520920 is an apocalyptic number.

138520920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138520920 is an abundant number, since it is smaller than the sum of its proper divisors (278065320).

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

138520920 is a wasteful number, since it uses less digits than its factorization.

138520920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 138520920 is about 11769.4910680114. The cubic root of 138520920 is about 517.4143338792.

The spelling of 138520920 in words is "one hundred thirty-eight million, five hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 491 982 1473 1964 2351 2455 2946 3928 4702 4910 5892 7053 7365 9404 9820 11755 11784 14106 14730 18808 19640 23510 28212 29460 35265 47020 56424 58920 70530 94040 141060 282120 1154341 2308682 3463023 4617364 5771705 6926046 9234728 11543410 13852092 17315115 23086820 27704184 34630230 46173640 69260460 138520920