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138818112 = 2631275693
BaseRepresentation
bin10000100011000…
…11001001000000
3100200012200122120
420101203021000
5241014134422
621435204240
73303635346
oct1021431100
9320180576
10138818112
11713a5114
123a5a6680
13229b53c4
1414617996
15c2c145c
hex8463240

138818112 has 56 divisors (see below), whose sum is σ = 370246656. Its totient is φ = 45900288.

The previous prime is 138818111. The next prime is 138818129. The reversal of 138818112 is 211818831.

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

It is not an unprimeable number, because it can be changed into a prime (138818111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21538 + ... + 27230.

Almost surely, 2138818112 is an apocalyptic number.

138818112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185123328).

138818112 is an abundant number, since it is smaller than the sum of its proper divisors (231428544).

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

138818112 is a wasteful number, since it uses less digits than its factorization.

138818112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5825 counting only the distinct ones).

The product of its digits is 3072, while the sum is 33.

The square root of 138818112 is about 11782.1098280401. The cubic root of 138818112 is about 517.7841012788.

The spelling of 138818112 in words is "one hundred thirty-eight million, eight hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 5693 6096 8128 11386 12192 17079 22772 24384 34158 45544 68316 91088 136632 182176 273264 364352 546528 723011 1093056 1446022 2169033 2892044 4338066 5784088 8676132 11568176 17352264 23136352 34704528 46272704 69409056 138818112