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138020832 = 2532479239
BaseRepresentation
bin10000011101000…
…00011111100000
3100121201011222200
420032200133200
5240313131312
621410133200
73264105045
oct1016403740
9317634880
10138020832
1170a00104
123a281200
1322796541
141448b1cc
15c1b50dc
hex83a07e0

138020832 has 36 divisors (see below), whose sum is σ = 392497560. Its totient is φ = 46006848.

The previous prime is 138020803. The next prime is 138020833. The reversal of 138020832 is 238020831.

138020832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 138020796 and 138020805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138020833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 239332 + ... + 239907.

It is an arithmetic number, because the mean of its divisors is an integer number (10902710).

Almost surely, 2138020832 is an apocalyptic number.

138020832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138020832 is an abundant number, since it is smaller than the sum of its proper divisors (254476728).

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

138020832 is a wasteful number, since it uses less digits than its factorization.

138020832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479255 (or 479244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138020832 is about 11748.2267598136. The cubic root of 138020832 is about 516.7909269399.

Subtracting from 138020832 its sum of digits (27), we obtain a triangular number (138020805 = T16614).

Subtracting 138020832 from its reverse (238020831), we obtain a palindrome (99999999).

The spelling of 138020832 in words is "one hundred thirty-eight million, twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 479239 958478 1437717 1916956 2875434 3833912 4313151 5750868 7667824 8626302 11501736 15335648 17252604 23003472 34505208 46006944 69010416 138020832