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138800064 = 2631355609
BaseRepresentation
bin10000100010111…
…10101111000000
3100200011202220010
420101132233000
5241013100224
621434544520
73303531624
oct1021365700
9320152803
10138800064
11713925a7
123a598140
13229aa120
1414611184
15c2bae29
hex845ebc0

138800064 has 56 divisors (see below), whose sum is σ = 395498320. Its totient is φ = 42706944.

The previous prime is 138800063. The next prime is 138800069. The reversal of 138800064 is 460008831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138800063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25309 + ... + 30300.

It is an arithmetic number, because the mean of its divisors is an integer number (7062470).

Almost surely, 2138800064 is an apocalyptic number.

It is an amenable number.

138800064 is an abundant number, since it is smaller than the sum of its proper divisors (256698256).

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

138800064 is a wasteful number, since it uses less digits than its factorization.

138800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55637 (or 55627 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 138800064 is about 11781.3438961775. The cubic root of 138800064 is about 517.7616609494.

Adding to 138800064 its reverse (460008831), we get a palindrome (598808895).

The spelling of 138800064 in words is "one hundred thirty-eight million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 55609 111218 166827 222436 333654 444872 667308 722917 889744 1334616 1445834 1779488 2168751 2669232 2891668 3558976 4337502 5338464 5783336 8675004 10676928 11566672 17350008 23133344 34700016 46266688 69400032 138800064