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138325432 = 23721672113
BaseRepresentation
bin10000011111010…
…10110110111000
3100122021122211011
420033222312320
5240402403212
621420443304
73266514100
oct1017526670
9318248734
10138325432
1171098a43
123a3a9534
132287208b
141452a200
15c2254a7
hex83eadb8

138325432 has 48 divisors (see below), whose sum is σ = 303654960. Its totient is φ = 58899456.

The previous prime is 138325423. The next prime is 138325457. The reversal of 138325432 is 234523831.

It is a junction number, because it is equal to n+sod(n) for n = 138325394 and 138325403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64408 + ... + 66520.

It is an arithmetic number, because the mean of its divisors is an integer number (6326145).

Almost surely, 2138325432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138325432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151827480).

138325432 is an abundant number, since it is smaller than the sum of its proper divisors (165329528).

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

138325432 is a wasteful number, since it uses less digits than its factorization.

138325432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2289 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 138325432 is about 11761.1832738037. The cubic root of 138325432 is about 517.1708185253.

The spelling of 138325432 in words is "one hundred thirty-eight million, three hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 167 196 334 392 668 1169 1336 2113 2338 4226 4676 8183 8452 9352 14791 16366 16904 29582 32732 59164 65464 103537 118328 207074 352871 414148 705742 828296 1411484 2470097 2822968 4940194 9880388 17290679 19760776 34581358 69162716 138325432