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138106420 = 22512795399
BaseRepresentation
bin10000011101101…
…01011000110100
3100121212112101121
420032311120310
5240323401140
621412033324
73264612424
oct1016653064
9317775347
10138106420
1170a59441
123a302844
13227c649a
14144b0484
15c1d064a
hex83b5634

138106420 has 24 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 55189152.

The previous prime is 138106391. The next prime is 138106447. The reversal of 138106420 is 24601831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22881 + ... + 28279.

It is an arithmetic number, because the mean of its divisors is an integer number (12096000).

Almost surely, 2138106420 is an apocalyptic number.

138106420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138106420 is an abundant number, since it is smaller than the sum of its proper divisors (152197580).

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

138106420 is a wasteful number, since it uses less digits than its factorization.

138106420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 138106420 is about 11751.8687875589. The cubic root of 138106420 is about 516.8977271518.

The spelling of 138106420 in words is "one hundred thirty-eight million, one hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1279 2558 5116 5399 6395 10798 12790 21596 25580 26995 53990 107980 6905321 13810642 27621284 34526605 69053210 138106420