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138428316 = 223213295787
BaseRepresentation
bin10000100000000…
…11111110011100
3100122110212221200
420100003332130
5240414201231
621422555500
73300423045
oct1020037634
9318425850
10138428316
1171159274
123a438b90
13228a9b60
14145558cc
15c245be6
hex8403f9c

138428316 has 36 divisors (see below), whose sum is σ = 376833912. Its totient is φ = 42593184.

The previous prime is 138428249. The next prime is 138428317. The reversal of 138428316 is 613824831.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138428317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147426 + ... + 148361.

Almost surely, 2138428316 is an apocalyptic number.

It is an amenable number.

138428316 is an abundant number, since it is smaller than the sum of its proper divisors (238405596).

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

138428316 is a wasteful number, since it uses less digits than its factorization.

138428316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295810 (or 295805 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138428316 is about 11765.5563404371. The cubic root of 138428316 is about 517.2990075727.

The spelling of 138428316 in words is "one hundred thirty-eight million, four hundred twenty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 295787 591574 887361 1183148 1774722 2662083 3549444 3845231 5324166 7690462 10648332 11535693 15380924 23071386 34607079 46142772 69214158 138428316