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138109980 = 223543199269
BaseRepresentation
bin10000011101101…
…10010000011100
3100121212201021110
420032312100130
5240324004410
621412102020
73264626001
oct1016662034
9317781243
10138109980
1170a61088
123a304910
13227c7ca8
14144b18a8
15c1d1720
hex83b641c

138109980 has 96 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 35659008.

The previous prime is 138109969. The next prime is 138109987. The reversal of 138109980 is 89901831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138109987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513286 + ... + 513554.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2138109980 is an apocalyptic number.

138109980 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 138109980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

138109980 is an abundant number, since it is smaller than the sum of its proper divisors (261058020).

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

138109980 is a wasteful number, since it uses less digits than its factorization.

138109980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 138109980 is about 11752.0202518546. The cubic root of 138109980 is about 516.9021685096.

The spelling of 138109980 in words is "one hundred thirty-eight million, one hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 199 215 258 269 398 430 516 538 597 645 796 807 860 995 1076 1194 1290 1345 1614 1990 2388 2580 2690 2985 3228 3980 4035 5380 5970 8070 8557 11567 11940 16140 17114 23134 25671 34228 34701 42785 46268 51342 53531 57835 69402 85570 102684 107062 115670 128355 138804 160593 171140 173505 214124 231340 256710 267655 321186 347010 513420 535310 642372 694020 802965 1070620 1605930 2301833 3211860 4603666 6905499 9207332 11509165 13810998 23018330 27621996 34527495 46036660 69054990 138109980