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138922160 = 24513312139
BaseRepresentation
bin10000100011111…
…00100010110000
3100200101222101012
420101330202300
5241031002120
621441330052
73304550606
oct1021744260
9320358335
10138922160
1171466303
123a636928
1322a20880
1414643876
15c2e21c5
hex847c8b0

138922160 has 120 divisors (see below), whose sum is σ = 362008080. Its totient is φ = 49282560.

The previous prime is 138922159. The next prime is 138922171. The reversal of 138922160 is 61229831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999371 + ... + 999509.

It is an arithmetic number, because the mean of its divisors is an integer number (3016734).

Almost surely, 2138922160 is an apocalyptic number.

138922160 is a gapful number since it is divisible by the number (10) 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 138922160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181004040).

138922160 is an abundant number, since it is smaller than the sum of its proper divisors (223085920).

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

138922160 is a wasteful number, since it uses less digits than its factorization.

138922160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 138922160 is about 11786.5245089466. The cubic root of 138922160 is about 517.9134334552.

The spelling of 138922160 in words is "one hundred thirty-eight million, nine hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 139 155 208 248 260 278 310 403 496 520 556 620 695 806 961 1040 1112 1240 1390 1612 1807 1922 2015 2224 2480 2780 3224 3614 3844 4030 4309 4805 5560 6448 7228 7688 8060 8618 9035 9610 11120 12493 14456 15376 16120 17236 18070 19220 21545 24986 28912 32240 34472 36140 38440 43090 49972 56017 62465 68944 72280 76880 86180 99944 112034 124930 133579 144560 172360 199888 224068 249860 267158 280085 344720 448136 499720 534316 560170 667895 896272 999440 1068632 1120340 1335790 1736527 2137264 2240680 2671580 3473054 4481360 5343160 6946108 8682635 10686320 13892216 17365270 27784432 34730540 69461080 138922160