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138232016 = 24131076211
BaseRepresentation
bin10000011110101…
…00000011010000
3100122002220200022
420033110003100
5240341411031
621414443012
73265644536
oct1017240320
9318086608
10138232016
117103483a
123a363468
132283b6c0
1414504156
15c20797b
hex83d40d0

138232016 has 40 divisors (see below), whose sum is σ = 291168864. Its totient is φ = 63192960.

The previous prime is 138231983. The next prime is 138232051. The reversal of 138232016 is 610232831.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19151 + ... + 25361.

Almost surely, 2138232016 is an apocalyptic number.

138232016 is a gapful number since it is divisible by the number (16) 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 138232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145584432).

138232016 is an abundant number, since it is smaller than the sum of its proper divisors (152936848).

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

138232016 is a wasteful number, since it uses less digits than its factorization.

138232016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 138232016 is about 11757.2112339619. The cubic root of 138232016 is about 517.0543711298.

Adding to 138232016 its reverse (610232831), we get a palindrome (748464847).

The spelling of 138232016 in words is "one hundred thirty-eight million, two hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 856 1391 1712 2782 5564 6211 11128 12422 22256 24844 49688 80743 99376 161486 322972 645944 664577 1291888 1329154 2658308 5316616 8639501 10633232 17279002 34558004 69116008 138232016