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138982608 = 2433433743
BaseRepresentation
bin10000100100010…
…11010011010000
3100200112001022000
420102023103100
5241034420413
621442514000
73305222052
oct1022132320
9320461260
10138982608
11714a7766
123a665900
1322a4223b
141465b8d2
15c305073
hex848b4d0

138982608 has 80 divisors (see below), whose sum is σ = 400391040. Its totient is φ = 46158336.

The previous prime is 138982559. The next prime is 138982643. The reversal of 138982608 is 806289831.

138982608 is a `hidden beast` number, since 1 + 38 + 9 + 8 + 2 + 608 = 666.

It is a congruent number.

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, 186685 + ... + 187427.

It is an arithmetic number, because the mean of its divisors is an integer number (5004888).

Almost surely, 2138982608 is an apocalyptic number.

138982608 is a gapful number since it is divisible by the number (18) 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 138982608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200195520).

138982608 is an abundant number, since it is smaller than the sum of its proper divisors (261408432).

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

138982608 is a wasteful number, since it uses less digits than its factorization.

138982608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 138982608 is about 11789.0885143848. The cubic root of 138982608 is about 517.9885409628.

The spelling of 138982608 in words is "one hundred thirty-eight million, nine hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 433 743 866 1299 1486 1732 2229 2598 2972 3464 3897 4458 5196 5944 6687 6928 7794 8916 10392 11691 11888 13374 15588 17832 20061 20784 23382 26748 31176 35664 40122 46764 53496 62352 80244 93528 106992 160488 187056 320976 321719 643438 965157 1286876 1930314 2573752 2895471 3860628 5147504 5790942 7721256 8686413 11581884 15442512 17372826 23163768 34745652 46327536 69491304 138982608