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138657660 = 22357331657
BaseRepresentation
bin10000100001110…
…11111101111100
3100122220112112220
420100323331330
5240444021120
621431525340
73302366511
oct1020737574
9318815486
10138657660
11712a5609
123a529850
132295a36b
14145b5308
15c28db40
hex843bf7c

138657660 has 48 divisors (see below), whose sum is σ = 393572256. Its totient is φ = 36467712.

The previous prime is 138657653. The next prime is 138657677. The reversal of 138657660 is 66756831.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 11449 + ... + 20208.

It is an arithmetic number, because the mean of its divisors is an integer number (8199422).

Almost surely, 2138657660 is an apocalyptic number.

138657660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138657660 is an abundant number, since it is smaller than the sum of its proper divisors (254914596).

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

138657660 is a wasteful number, since it uses less digits than its factorization.

138657660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31742 (or 31740 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 138657660 is about 11775.2987223255. The cubic root of 138657660 is about 517.5845319216.

The spelling of 138657660 in words is "one hundred thirty-eight million, six hundred fifty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 31657 63314 94971 126628 158285 189942 316570 379884 474855 633140 949710 1899420 2310961 4621922 6932883 9243844 11554805 13865766 23109610 27731532 34664415 46219220 69328830 138657660