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138888 = 2333643
BaseRepresentation
bin100001111010001000
321001112000
4201322020
513421023
62551000
71115631
oct417210
9231460
10138888
1195392
1268460
134b2a9
1438888
152b243
hex21e88

138888 has 32 divisors (see below), whose sum is σ = 386400. Its totient is φ = 46224.

The previous prime is 138883. The next prime is 138889. The reversal of 138888 is 888831.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138888.

It is not an unprimeable number, because it can be changed into a prime (138883) by changing a digit.

138888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (12075).

2138888 is an apocalyptic number.

138888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138888 is an abundant number, since it is smaller than the sum of its proper divisors (247512).

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

138888 is a wasteful number, since it uses less digits than its factorization.

138888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 138888 is about 372.6768036785. The cubic root of 138888 is about 51.7870979530.

The spelling of 138888 in words is "one hundred thirty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 643 1286 1929 2572 3858 5144 5787 7716 11574 15432 17361 23148 34722 46296 69444 138888