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138994080 = 2535319341
BaseRepresentation
bin10000100100011…
…10000110100000
3100200112122000220
420102032012200
5241040302310
621443043040
73305300361
oct1022160640
9320478026
10138994080
1171505345
123a670480
1322a47524
1414661b68
15c308670
hex848e1a0

138994080 has 96 divisors (see below), whose sum is σ = 452003328. Its totient is φ = 35865600.

The previous prime is 138994061. The next prime is 138994109. The reversal of 138994080 is 80499831.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10210 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (4708368).

Almost surely, 2138994080 is an apocalyptic number.

138994080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226001664).

138994080 is an abundant number, since it is smaller than the sum of its proper divisors (313009248).

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

138994080 is a wasteful number, since it uses less digits than its factorization.

138994080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 138994080 is about 11789.5750559552. The cubic root of 138994080 is about 518.0027926287.

The spelling of 138994080 in words is "one hundred thirty-eight million, nine hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 9341 14880 18682 28023 37364 46705 56046 74728 93410 112092 140115 149456 186820 224184 280230 289571 298912 373640 448368 560460 579142 747280 868713 896736 1120920 1158284 1447855 1494560 1737426 2241840 2316568 2895710 3474852 4343565 4483680 4633136 5791420 6949704 8687130 9266272 11582840 13899408 17374260 23165680 27798816 34748520 46331360 69497040 138994080