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138568680 = 23325384913
BaseRepresentation
bin10000100001001…
…10001111101000
3100122202000111100
420100212033220
5240433144210
621430001400
73301546215
oct1020461750
9318660440
10138568680
1171244778
123a4a6260
1322928a03
1414590b0c
15c2725c0
hex84263e8

138568680 has 48 divisors (see below), whose sum is σ = 450349380. Its totient is φ = 36951552.

The previous prime is 138568679. The next prime is 138568697. The reversal of 138568680 is 86865831.

138568680 is a `hidden beast` number, since 1 + 3 + 8 + 568 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138156516 + 412164 = 11754^2 + 642^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192097 + ... + 192816.

Almost surely, 2138568680 is an apocalyptic number.

138568680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138568680 is an abundant number, since it is smaller than the sum of its proper divisors (311780700).

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

138568680 is a wasteful number, since it uses less digits than its factorization.

138568680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384930 (or 384923 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 138568680 is about 11771.5198678845. The cubic root of 138568680 is about 517.4737926937.

The spelling of 138568680 in words is "one hundred thirty-eight million, five hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 384913 769826 1154739 1539652 1924565 2309478 3079304 3464217 3849130 4618956 5773695 6928434 7698260 9237912 11547390 13856868 15396520 17321085 23094780 27713736 34642170 46189560 69284340 138568680