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138475620 = 22325769309
BaseRepresentation
bin10000100000011…
…11100001100100
3100122120021211200
420100033201210
5240422204440
621424002500
73301011003
oct1020174144
9318507750
10138475620
1171190868
123a460430
13228c554a
1414568c3a
15c254c30
hex840f864

138475620 has 36 divisors (see below), whose sum is σ = 420043260. Its totient is φ = 36926784.

The previous prime is 138475619. The next prime is 138475621. The reversal of 138475620 is 26574831.

138475620 is a `hidden beast` number, since 13 + 84 + 7 + 562 + 0 = 666.

138475620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138475619) and next prime (138475621).

It can be written as a sum of positive squares in 2 ways, for example, as 47692836 + 90782784 = 6906^2 + 9528^2 .

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 not an unprimeable number, because it can be changed into a prime (138475621) 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, 384475 + ... + 384834.

Almost surely, 2138475620 is an apocalyptic number.

138475620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138475620 is an abundant number, since it is smaller than the sum of its proper divisors (281567640).

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

138475620 is a wasteful number, since it uses less digits than its factorization.

138475620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769324 (or 769319 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 138475620 is about 11767.5664434071. The cubic root of 138475620 is about 517.3579250113.

The spelling of 138475620 in words is "one hundred thirty-eight million, four hundred seventy-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 769309 1538618 2307927 3077236 3846545 4615854 6923781 7693090 9231708 11539635 13847562 15386180 23079270 27695124 34618905 46158540 69237810 138475620