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138766080 = 283536137
BaseRepresentation
bin10000100010101…
…10011100000000
3100200010001021110
420101112130000
5241011003310
621434123320
73303330555
oct1021263400
9320101243
10138766080
117136a012
123a580540
132299780b
1414602a2c
15c2b0d20
hex8456700

138766080 has 72 divisors (see below), whose sum is σ = 443196432. Its totient is φ = 37003264.

The previous prime is 138766079. The next prime is 138766097. The reversal of 138766080 is 80667831.

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, 14229 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (6155506).

Almost surely, 2138766080 is an apocalyptic number.

138766080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138766080 is an abundant number, since it is smaller than the sum of its proper divisors (304430352).

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

138766080 is an equidigital number, since it uses as much as digits as its factorization.

138766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36161 (or 36147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 138766080 is about 11779.9015276020. The cubic root of 138766080 is about 517.7194010061.

The spelling of 138766080 in words is "one hundred thirty-eight million, seven hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 36137 72274 108411 144548 180685 216822 289096 361370 433644 542055 578192 722740 867288 1084110 1156384 1445480 1734576 2168220 2312768 2890960 3469152 4336440 4625536 5781920 6938304 8672880 9251072 11563840 13876608 17345760 23127680 27753216 34691520 46255360 69383040 138766080