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138270860 = 2257131741109
BaseRepresentation
bin10000011110111…
…01100010001100
3100122011212221222
420033131202030
5240344131420
621415342512
73266166020
oct1017354214
9318155858
10138270860
1171060a42
123a381a38
13228532a0
1414514380
15c214225
hex83dd88c

138270860 has 192 divisors, whose sum is σ = 391184640. Its totient is φ = 39813120.

The previous prime is 138270841. The next prime is 138270863. The reversal of 138270860 is 68072831.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 138270860.

It is not an unprimeable number, because it can be changed into a prime (138270863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268486 + ... + 1268594.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2138270860 is an apocalyptic number.

138270860 is a gapful number since it is divisible by the number (10) 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 138270860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

138270860 is an abundant number, since it is smaller than the sum of its proper divisors (252913780).

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

138270860 is a wasteful number, since it uses less digits than its factorization.

138270860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 138270860 is about 11758.8630402773. The cubic root of 138270860 is about 517.1027983552.

The spelling of 138270860 in words is "one hundred thirty-eight million, two hundred seventy thousand, eight hundred sixty".