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138996 = 22351113
BaseRepresentation
bin100001111011110100
321001200000
4201323310
513421441
62551300
71116144
oct417364
9231600
10138996
1195480
1268530
134b360
1438924
152b2b6
hex21ef4

138996 has 72 divisors (see below), whose sum is σ = 428064. Its totient is φ = 38880.

The previous prime is 138977. The next prime is 139021. The reversal of 138996 is 699831.

It can be divided in two parts, 1389 and 96, that added together give a triangular number (1485 = T54).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138996.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138996.

It is an unprimeable number.

138996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10686 + ... + 10698.

2138996 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 138996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214032).

138996 is an abundant number, since it is smaller than the sum of its proper divisors (289068).

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

138996 is a wasteful number, since it uses less digits than its factorization.

138996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 138996 is about 372.8216731897. The cubic root of 138996 is about 51.8005177768.

The spelling of 138996 in words is "one hundred thirty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 243 286 297 324 351 396 429 468 486 572 594 702 858 891 972 1053 1188 1287 1404 1716 1782 2106 2574 2673 3159 3564 3861 4212 5148 5346 6318 7722 10692 11583 12636 15444 23166 34749 46332 69498 138996