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138966732 = 22331817109
BaseRepresentation
bin10000100100001…
…11011011001100
3100200111020112000
420102013123030
5241033413412
621442312300
73305124552
oct1022073314
9320436460
10138966732
1171496843
123a658690
1322a37c48
1414655bd2
15c3004dc
hex84876cc

138966732 has 48 divisors (see below), whose sum is σ = 362325600. Its totient is φ = 46059840.

The previous prime is 138966719. The next prime is 138966743. The reversal of 138966732 is 237669831.

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, 15994 + ... + 23102.

It is an arithmetic number, because the mean of its divisors is an integer number (7548450).

Almost surely, 2138966732 is an apocalyptic number.

138966732 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 138966732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181162800).

138966732 is an abundant number, since it is smaller than the sum of its proper divisors (223358868).

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

138966732 is a wasteful number, since it uses less digits than its factorization.

138966732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7303 (or 7295 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 138966732 is about 11788.4151606567. The cubic root of 138966732 is about 517.9688169141.

It can be divided in two parts, 1389 and 66732, that added together give a square (68121 = 2612).

The spelling of 138966732 in words is "one hundred thirty-eight million, nine hundred sixty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4887 6516 7109 9774 14218 19548 21327 28436 42654 63981 85308 127962 191943 255924 383886 767772 1286729 2573458 3860187 5146916 7720374 11580561 15440748 23161122 34741683 46322244 69483366 138966732