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138520760 = 23571729101
BaseRepresentation
bin10000100000110…
…10100010111000
3100122122120202112
420100122202320
5240430131020
621424551452
73301256420
oct1020324270
9318576675
10138520760
1171211774
123a482588
132290cc61
141457b480
15c2632c5
hex841a8b8

138520760 has 64 divisors (see below), whose sum is σ = 377161920. Its totient is φ = 44697600.

The previous prime is 138520751. The next prime is 138520763. The reversal of 138520760 is 67025831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138520763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9791 + ... + 19310.

It is an arithmetic number, because the mean of its divisors is an integer number (5893155).

Almost surely, 2138520760 is an apocalyptic number.

138520760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138520760 is an abundant number, since it is smaller than the sum of its proper divisors (238641160).

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

138520760 is a wasteful number, since it uses less digits than its factorization.

138520760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29136 (or 29132 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 138520760 is about 11769.4842707741. The cubic root of 138520760 is about 517.4141346642.

The spelling of 138520760 in words is "one hundred thirty-eight million, five hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 29101 58202 116404 145505 203707 232808 291010 407414 494717 582020 814828 989434 1018535 1164040 1629656 1978868 2037070 2473585 3463019 3957736 4074140 4947170 6926038 8148280 9894340 13852076 17315095 19788680 27704152 34630190 69260380 138520760