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138726320 = 2453746867
BaseRepresentation
bin10000100010011…
…00101110110000
3100200001000201212
420101030232300
5241003220240
621433215252
73303103625
oct1021145660
9320030655
10138726320
1171342157
123a561528
13229826a5
14145d234c
15c2a4165
hex844cbb0

138726320 has 40 divisors (see below), whose sum is σ = 331263024. Its totient is φ = 53989632.

The previous prime is 138726319. The next prime is 138726349. The reversal of 138726320 is 23627831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20474 + ... + 26393.

Almost surely, 2138726320 is an apocalyptic number.

138726320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138726320 is an abundant number, since it is smaller than the sum of its proper divisors (192536704).

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

138726320 is a wasteful number, since it uses less digits than its factorization.

138726320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46917 (or 46911 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 138726320 is about 11778.2137864788. The cubic root of 138726320 is about 517.6699497048.

The spelling of 138726320 in words is "one hundred thirty-eight million, seven hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 46867 93734 187468 234335 374936 468670 749872 937340 1734079 1874680 3468158 3749360 6936316 8670395 13872632 17340790 27745264 34681580 69363160 138726320