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138608310 = 23517463587
BaseRepresentation
bin10000100001011…
…11111010110110
3100122211000212010
420100233322312
5240440431220
621430505050
73302102601
oct1020577266
9318730763
10138608310
1171271525
123a505186
1322940a69
14145a1338
15c27e1e0
hex842feb6

138608310 has 64 divisors (see below), whose sum is σ = 353590272. Its totient is φ = 34653696.

The previous prime is 138608237. The next prime is 138608321. The reversal of 138608310 is 13806831.

It is a super-2 number, since 2×1386083102 = 38424527202112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235837 + ... + 236423.

It is an arithmetic number, because the mean of its divisors is an integer number (5524848).

Almost surely, 2138608310 is an apocalyptic number.

138608310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138608310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176795136).

138608310 is an abundant number, since it is smaller than the sum of its proper divisors (214981962).

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

138608310 is a wasteful number, since it uses less digits than its factorization.

138608310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 138608310 is about 11773.2030475992. The cubic root of 138608310 is about 517.5231196934.

The spelling of 138608310 in words is "one hundred thirty-eight million, six hundred eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 463 510 587 926 1174 1389 1761 2315 2778 2935 3522 4630 5870 6945 7871 8805 9979 13890 15742 17610 19958 23613 29937 39355 47226 49895 59874 78710 99790 118065 149685 236130 271781 299370 543562 815343 1358905 1630686 2717810 4076715 4620277 8153430 9240554 13860831 23101385 27721662 46202770 69304155 138608310