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138742032 = 2431113172941
BaseRepresentation
bin10000100010100…
…00100100010000
3100200001211021210
420101100210100
5241004221112
621433420120
73303200502
oct1021204420
9320054253
10138742032
1171352a40
123a56a640
13229898a0
14145d7d72
15c2a8b3c
hex8450910

138742032 has 320 divisors, whose sum is σ = 472469760. Its totient is φ = 34406400.

The previous prime is 138741997. The next prime is 138742127. The reversal of 138742032 is 230247831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3383932 + ... + 3383972.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 2138742032 is an apocalyptic number.

138742032 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 138742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

138742032 is an abundant number, since it is smaller than the sum of its proper divisors (333727728).

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

138742032 is a wasteful number, since it uses less digits than its factorization.

138742032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 138742032 is about 11778.8807617702. The cubic root of 138742032 is about 517.6894925553.

Adding to 138742032 its reverse (230247831), we get a palindrome (368989863).

The spelling of 138742032 in words is "one hundred thirty-eight million, seven hundred forty-two thousand, thirty-two".