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138668436 = 2235179797
BaseRepresentation
bin10000100001111…
…10100110010100
3100122221002100000
420100332212110
5240444342221
621432051300
73302443104
oct1020764624
9318832300
10138668436
1171302715
123a533b30
132296223a
14145b9204
15c291e26
hex843e994

138668436 has 72 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 45906912.

The previous prime is 138668429. The next prime is 138668461. The reversal of 138668436 is 634866831.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138668391 and 138668400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173590 + ... + 174386.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2138668436 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 138668436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

138668436 is an abundant number, since it is smaller than the sum of its proper divisors (227326284).

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

138668436 is a wasteful number, since it uses less digits than its factorization.

138668436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 981 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 138668436 is about 11775.7562814454. The cubic root of 138668436 is about 517.5979398752.

The spelling of 138668436 in words is "one hundred thirty-eight million, six hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 179 243 324 358 486 537 716 797 972 1074 1594 1611 2148 2391 3188 3222 4782 4833 6444 7173 9564 9666 14346 14499 19332 21519 28692 28998 43038 43497 57996 64557 86076 86994 129114 142663 173988 193671 258228 285326 387342 427989 570652 774684 855978 1283967 1711956 2567934 3851901 5135868 7703802 11555703 15407604 23111406 34667109 46222812 69334218 138668436