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138621392 = 2473132967
BaseRepresentation
bin10000100001100…
…11000111010000
3100122211200210122
420100303013100
5240441341032
621431045412
73302156000
oct1020630720
9318750718
10138621392
1171280338
123a510868
13229469c0
14145a6000
15c283012
hex84331d0

138621392 has 160 divisors (see below), whose sum is σ = 354144000. Its totient is φ = 52157952.

The previous prime is 138621361. The next prime is 138621401. The reversal of 138621392 is 293126831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068943 + ... + 2069009.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2138621392 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 138621392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177072000).

138621392 is an abundant number, since it is smaller than the sum of its proper divisors (215522608).

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

138621392 is a wasteful number, since it uses less digits than its factorization.

138621392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 138621392 is about 11773.7586182153. The cubic root of 138621392 is about 517.5394006423.

The spelling of 138621392 in words is "one hundred thirty-eight million, six hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 67 91 98 104 112 116 134 182 196 203 208 232 268 343 364 377 392 406 464 469 536 637 686 728 754 784 812 871 938 1072 1274 1372 1421 1456 1508 1624 1742 1876 1943 2548 2639 2744 2842 3016 3248 3283 3484 3752 3886 4459 5096 5278 5488 5684 6032 6097 6566 6968 7504 7772 8918 9947 10192 10556 11368 12194 13132 13601 13936 15544 17836 18473 19894 21112 22736 22981 24388 25259 26264 27202 31088 35672 36946 39788 42224 42679 45962 48776 50518 52528 54404 71344 73892 79576 85358 91924 95207 97552 101036 108808 129311 147784 159152 170716 176813 183848 190414 202072 217616 258622 295568 298753 341432 353626 367696 380828 404144 517244 597506 666449 682864 707252 761656 1034488 1195012 1237691 1332898 1414504 1523312 2068976 2390024 2475382 2665796 2829008 4780048 4950764 5331592 8663837 9901528 10663184 17327674 19803056 34655348 69310696 138621392