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138451328 = 271956929
BaseRepresentation
bin10000100000010…
…01100110000000
3100122112001111222
420100021212000
5240420420303
621423254212
73300550121
oct1020114600
9318461458
10138451328
1171174594
123a44a368
13228b7482
1414560048
15c24c938
hex8409980

138451328 has 32 divisors (see below), whose sum is σ = 290343000. Its totient is φ = 65581056.

The previous prime is 138451321. The next prime is 138451343. The reversal of 138451328 is 823154831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138451321) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26033 + ... + 30896.

Almost surely, 2138451328 is an apocalyptic number.

It is an amenable number.

138451328 is an abundant number, since it is smaller than the sum of its proper divisors (151891672).

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

138451328 is an equidigital number, since it uses as much as digits as its factorization.

138451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56962 (or 56950 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 138451328 is about 11766.5342391037. The cubic root of 138451328 is about 517.3276708441.

The spelling of 138451328 in words is "one hundred thirty-eight million, four hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 56929 113858 227716 455432 910864 1081651 1821728 2163302 3643456 4326604 7286912 8653208 17306416 34612832 69225664 138451328