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138630420 = 22335256723
BaseRepresentation
bin10000100001101…
…01010100010100
3100122212011012000
420100311110110
5240442133140
621431155300
73302224215
oct1020652424
9318764160
10138630420
11712870a5
123a515b30
132294ab46
14145a940c
15c285a30
hex8435514

138630420 has 48 divisors (see below), whose sum is σ = 431296320. Its totient is φ = 36967968.

The previous prime is 138630347. The next prime is 138630433. The reversal of 138630420 is 24036831.

It is a happy number.

138630420 is a `hidden beast` number, since 1 + 3 + 8 + 630 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 127822 + ... + 128901.

It is an arithmetic number, because the mean of its divisors is an integer number (8985340).

Almost surely, 2138630420 is an apocalyptic number.

138630420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138630420 is an abundant number, since it is smaller than the sum of its proper divisors (292665900).

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

138630420 is a wasteful number, since it uses less digits than its factorization.

138630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256741 (or 256733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138630420 is about 11774.1420069574. The cubic root of 138630420 is about 517.5506356670.

The spelling of 138630420 in words is "one hundred thirty-eight million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 256723 513446 770169 1026892 1283615 1540338 2310507 2567230 3080676 3850845 4621014 5134460 6931521 7701690 9242028 11552535 13863042 15403380 23105070 27726084 34657605 46210140 69315210 138630420