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138029864 = 23722231579
BaseRepresentation
bin10000011101000…
…10101100101000
3100121201122101012
420032202230220
5240313423424
621410243052
73264143300
oct1016425450
9317648335
10138029864
1170a06975
123a286488
132279a69b
1414490600
15c1b7b0e
hex83a2b28

138029864 has 48 divisors (see below), whose sum is σ = 302601600. Its totient is φ = 58853088.

The previous prime is 138029809. The next prime is 138029873. The reversal of 138029864 is 468920831.

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 11 ways as a sum of consecutive naturals, for example, 86627 + ... + 88205.

It is an arithmetic number, because the mean of its divisors is an integer number (6304200).

Almost surely, 2138029864 is an apocalyptic number.

138029864 is a gapful number since it is divisible by the number (14) 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 138029864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151300800).

138029864 is an abundant number, since it is smaller than the sum of its proper divisors (164571736).

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

138029864 is a wasteful number, since it uses less digits than its factorization.

138029864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 138029864 is about 11748.6111519618. The cubic root of 138029864 is about 516.8021995229.

The spelling of 138029864 in words is "one hundred thirty-eight million, twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 223 392 446 892 1561 1579 1784 3122 3158 6244 6316 10927 11053 12488 12632 21854 22106 43708 44212 77371 87416 88424 154742 309484 352117 618968 704234 1408468 2464819 2816936 4929638 9859276 17253733 19718552 34507466 69014932 138029864