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138102360 = 233511104623
BaseRepresentation
bin10000011101101…
…00011001011000
3100121212022211020
420032310121120
5240323233420
621412002440
73264564534
oct1016643130
9317768736
10138102360
1170a56390
123a300420
13227c4696
14144acbc4
15c1ce340
hex83b4658

138102360 has 64 divisors (see below), whose sum is σ = 451975680. Its totient is φ = 33479040.

The previous prime is 138102347. The next prime is 138102361. The reversal of 138102360 is 63201831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 138102360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138102361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50992 + ... + 53631.

It is an arithmetic number, because the mean of its divisors is an integer number (7062120).

Almost surely, 2138102360 is an apocalyptic number.

138102360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138102360 is an abundant number, since it is smaller than the sum of its proper divisors (313873320).

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

138102360 is a wasteful number, since it uses less digits than its factorization.

138102360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104648 (or 104644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 138102360 is about 11751.6960478052. The cubic root of 138102360 is about 516.8926619146.

The spelling of 138102360 in words is "one hundred thirty-eight million, one hundred two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 104623 209246 313869 418492 523115 627738 836984 1046230 1150853 1255476 1569345 2092460 2301706 2510952 3138690 3452559 4184920 4603412 5754265 6277380 6905118 9206824 11508530 12554760 13810236 17262795 23017060 27620472 34525590 46034120 69051180 138102360