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138785736 = 23347612017
BaseRepresentation
bin10000100010110…
…11001111001000
3100200011001020110
420101123033020
5241012120421
621434354320
73303442065
oct1021331710
9320131213
10138785736
1171382861
123a58b9a0
13229a374b
1414609c6c
15c2b6a76
hex845b3c8

138785736 has 64 divisors (see below), whose sum is σ = 360334080. Its totient is φ = 44513280.

The previous prime is 138785707. The next prime is 138785813. The reversal of 138785736 is 637587831.

It is a super-2 number, since 2×1387857362 = 38522961034123392, which contains 22 as substring.

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, 67800 + ... + 69816.

It is an arithmetic number, because the mean of its divisors is an integer number (5630220).

Almost surely, 2138785736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138785736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180167040).

138785736 is an abundant number, since it is smaller than the sum of its proper divisors (221548344).

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

138785736 is a wasteful number, since it uses less digits than its factorization.

138785736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2130 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 138785736 is about 11780.7358004498. The cubic root of 138785736 is about 517.7438445687.

The spelling of 138785736 in words is "one hundred thirty-eight million, seven hundred eighty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 47 61 94 122 141 183 188 244 282 366 376 488 564 732 1128 1464 2017 2867 4034 5734 6051 8068 8601 11468 12102 16136 17202 22936 24204 34404 48408 68808 94799 123037 189598 246074 284397 369111 379196 492148 568794 738222 758392 984296 1137588 1476444 2275176 2952888 5782739 11565478 17348217 23130956 34696434 46261912 69392868 138785736