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138976128 = 273340213
BaseRepresentation
bin10000100100010…
…01101110000000
3100200111201102000
420102021232000
5241034214003
621442424000
73305164134
oct1022115600
9320451360
10138976128
11714a2905
123a662000
1322a3c2c5
14146593c4
15c3031a3
hex8489b80

138976128 has 64 divisors (see below), whose sum is σ = 410182800. Its totient is φ = 46324224.

The previous prime is 138976111. The next prime is 138976141. The reversal of 138976128 is 821679831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16651 + ... + 23562.

Almost surely, 2138976128 is an apocalyptic number.

138976128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138976128 is an abundant number, since it is smaller than the sum of its proper divisors (271206672).

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

138976128 is an equidigital number, since it uses as much as digits as its factorization.

138976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40236 (or 40218 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 138976128 is about 11788.8136807738. The cubic root of 138976128 is about 517.9804905121.

The spelling of 138976128 in words is "one hundred thirty-eight million, nine hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 40213 80426 120639 160852 241278 321704 361917 482556 643408 723834 965112 1085751 1286816 1447668 1930224 2171502 2573632 2895336 3860448 4343004 5147264 5790672 7720896 8686008 11581344 15441792 17372016 23162688 34744032 46325376 69488064 138976128