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138231296 = 29738569
BaseRepresentation
bin10000011110100…
…11111000000000
3100122002212200122
420033103320000
5240341400141
621414435412
73265642460
oct1017237000
9318085618
10138231296
1171034245
123a362b68
132283b288
1414503ba0
15c20764b
hex83d3e00

138231296 has 40 divisors (see below), whose sum is σ = 315656880. Its totient is φ = 59240448.

The previous prime is 138231239. The next prime is 138231319. The reversal of 138231296 is 692132831.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15701 + ... + 22868.

It is an arithmetic number, because the mean of its divisors is an integer number (7891422).

Almost surely, 2138231296 is an apocalyptic number.

138231296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138231296 is an abundant number, since it is smaller than the sum of its proper divisors (177425584).

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

138231296 is an frugal number, since it uses more digits than its factorization.

138231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38594 (or 38578 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 138231296 is about 11757.1806144160. The cubic root of 138231296 is about 517.0534734126.

The spelling of 138231296 in words is "one hundred thirty-eight million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 38569 77138 154276 269983 308552 539966 617104 1079932 1234208 2159864 2468416 4319728 4936832 8639456 9873664 17278912 19747328 34557824 69115648 138231296