Search a number
-
+
138872112 = 24343611103
BaseRepresentation
bin10000100011100…
…00010100110000
3100200022102201120
420101300110300
5241022401422
621440302240
73304251651
oct1021602460
9320272646
10138872112
1171431745
123a611980
1322a03b62
141462d528
15c2d245c
hex8470530

138872112 has 80 divisors (see below), whose sum is σ = 373452288. Its totient is φ = 44432640.

The previous prime is 138872093. The next prime is 138872143. The reversal of 138872112 is 211278831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125353 + ... + 126455.

Almost surely, 2138872112 is an apocalyptic number.

138872112 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 138872112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186726144).

138872112 is an abundant number, since it is smaller than the sum of its proper divisors (234580176).

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

138872112 is a wasteful number, since it uses less digits than its factorization.

138872112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 138872112 is about 11784.4012151657. The cubic root of 138872112 is about 517.8512316082.

The spelling of 138872112 in words is "one hundred thirty-eight million, eight hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 61 86 122 129 172 183 244 258 344 366 488 516 688 732 976 1032 1103 1464 2064 2206 2623 2928 3309 4412 5246 6618 7869 8824 10492 13236 15738 17648 20984 26472 31476 41968 47429 52944 62952 67283 94858 125904 134566 142287 189716 201849 269132 284574 379432 403698 538264 569148 758864 807396 1076528 1138296 1614792 2276592 2893169 3229584 5786338 8679507 11572676 17359014 23145352 34718028 46290704 69436056 138872112