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138439092 = 2231117219191
BaseRepresentation
bin10000100000001…
…10100110110100
3100122111102201210
420100012212310
5240420022332
621423121420
73300466341
oct1020064664
9318442653
10138439092
1171166380
123a443270
13228b1a2c
14145597c8
15c248ecc
hex84069b4

138439092 has 144 divisors (see below), whose sum is σ = 396103680. Its totient is φ = 37209600.

The previous prime is 138439057. The next prime is 138439099. The reversal of 138439092 is 290934831.

It is a self number, because there is not a number n which added to its sum of digits gives 138439092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138439099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724717 + ... + 724907.

It is an arithmetic number, because the mean of its divisors is an integer number (2750720).

Almost surely, 2138439092 is an apocalyptic number.

138439092 is a gapful number since it is divisible by the number (12) 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 138439092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198051840).

138439092 is an abundant number, since it is smaller than the sum of its proper divisors (257664588).

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

138439092 is a wasteful number, since it uses less digits than its factorization.

138439092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 138439092 is about 11766.0142784207. The cubic root of 138439092 is about 517.3124303309.

The spelling of 138439092 in words is "one hundred thirty-eight million, four hundred thirty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 191 204 209 228 289 323 374 382 418 561 573 578 627 646 748 764 836 867 969 1122 1146 1156 1254 1292 1734 1938 2101 2244 2292 2508 3179 3247 3468 3553 3629 3876 4202 5491 6303 6358 6494 7106 7258 8404 9537 9741 10659 10887 10982 12606 12716 12988 14212 14516 16473 19074 19482 21318 21774 21964 25212 32946 35717 38148 38964 39919 42636 43548 55199 60401 61693 65892 71434 79838 107151 110398 119757 120802 123386 142868 159676 165597 181203 185079 214302 220796 239514 241604 246772 331194 362406 370158 428604 479028 607189 662388 678623 724812 740316 1048781 1214378 1357246 1821567 2035869 2097562 2428756 2714492 3146343 3643134 4071738 4195124 6292686 7286268 8143476 11536591 12585372 23073182 34609773 46146364 69219546 138439092