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138896368 = 24132311657
BaseRepresentation
bin10000100011101…
…10001111110000
3100200100122222221
420101312033300
5241024140433
621441010424
73304412452
oct1021661760
9320318887
10138896368
1171448996
123a623a14
1322a11c00
14146382d2
15c2d972d
hex84763f0

138896368 has 60 divisors (see below), whose sum is σ = 300986688. Its totient is φ = 62000640.

The previous prime is 138896363. The next prime is 138896369. The reversal of 138896368 is 863698831.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138896363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82996 + ... + 84652.

Almost surely, 2138896368 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 138896368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150493344).

138896368 is an abundant number, since it is smaller than the sum of its proper divisors (162090320).

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

138896368 is a wasteful number, since it uses less digits than its factorization.

138896368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1703 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 138896368 is about 11785.4303273152. The cubic root of 138896368 is about 517.8813798937.

The spelling of 138896368 in words is "one hundred thirty-eight million, eight hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 338 403 496 676 806 1352 1612 1657 2704 3224 3314 5239 6448 6628 10478 13256 20956 21541 26512 41912 43082 51367 83824 86164 102734 172328 205468 280033 344656 410936 560066 667771 821872 1120132 1335542 2240264 2671084 4480528 5342168 8681023 10684336 17362046 34724092 69448184 138896368