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138747728 = 24719113577
BaseRepresentation
bin10000100010100…
…01111101010000
3100200002010002202
420101101331100
5241004411403
621433502332
73303223220
oct1021217520
9320063082
10138747728
1171357249
123a5719a8
132298c362
14145da080
15c2aa688
hex8451f50

138747728 has 80 divisors (see below), whose sum is σ = 326824320. Its totient is φ = 55738368.

The previous prime is 138747683. The next prime is 138747737. The reversal of 138747728 is 827747831.

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 15 ways as a sum of consecutive naturals, for example, 240176 + ... + 240752.

It is an arithmetic number, because the mean of its divisors is an integer number (4085304).

Almost surely, 2138747728 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 138747728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163412160).

138747728 is an abundant number, since it is smaller than the sum of its proper divisors (188076592).

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

138747728 is a wasteful number, since it uses less digits than its factorization.

138747728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The square root of 138747728 is about 11779.1225479660. The cubic root of 138747728 is about 517.6965769717.

The spelling of 138747728 in words is "one hundred thirty-eight million, seven hundred forty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 113 133 152 226 266 304 452 532 577 791 904 1064 1154 1582 1808 2128 2147 2308 3164 4039 4294 4616 6328 8078 8588 9232 10963 12656 15029 16156 17176 21926 30058 32312 34352 43852 60116 64624 65201 76741 87704 120232 130402 153482 175408 240464 260804 306964 456407 521608 613928 912814 1043216 1227856 1238819 1825628 2477638 3651256 4955276 7302512 8671733 9910552 17343466 19821104 34686932 69373864 138747728