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138940180 = 22537359523
BaseRepresentation
bin10000100100000…
…00111100010100
3100200102220002121
420102000330110
5241032041210
621441545324
73304654261
oct1022007424
9320386077
10138940180
11714788a5
123a645244
1322a28b32
141464a268
15c2e76da
hex8480f14

138940180 has 48 divisors (see below), whose sum is σ = 301069440. Its totient is φ = 53820288.

The previous prime is 138940157. The next prime is 138940187. The reversal of 138940180 is 81049831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138940187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265399 + ... + 265921.

It is an arithmetic number, because the mean of its divisors is an integer number (6272280).

Almost surely, 2138940180 is an apocalyptic number.

138940180 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 138940180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150534720).

138940180 is an abundant number, since it is smaller than the sum of its proper divisors (162129260).

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

138940180 is a wasteful number, since it uses less digits than its factorization.

138940180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 138940180 is about 11787.2889164557. The cubic root of 138940180 is about 517.9358258429.

The spelling of 138940180 in words is "one hundred thirty-eight million, nine hundred forty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 359 370 523 718 740 1046 1436 1795 2092 2615 3590 5230 7180 10460 13283 19351 26566 38702 53132 66415 77404 96755 132830 187757 193510 265660 375514 387020 751028 938785 1877570 3755140 6947009 13894018 27788036 34735045 69470090 138940180