Search a number
-
+
138102560 = 2551750773
BaseRepresentation
bin10000011101101…
…00011100100000
3100121212100002122
420032310130200
5240323240220
621412003412
73264565241
oct1016643440
9317770078
10138102560
1170a56552
123a300568
13227c47bb
14144accc8
15c1ce425
hex83b4720

138102560 has 48 divisors (see below), whose sum is σ = 345466296. Its totient is φ = 51990528.

The previous prime is 138102527. The next prime is 138102563. The reversal of 138102560 is 65201831.

138102560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133726096 + 4376464 = 11564^2 + 2092^2 .

It is not an unprimeable number, because it can be changed into a prime (138102563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22667 + ... + 28106.

Almost surely, 2138102560 is an apocalyptic number.

138102560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138102560 is an abundant number, since it is smaller than the sum of its proper divisors (207363736).

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

138102560 is a wasteful number, since it uses less digits than its factorization.

138102560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50805 (or 50797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 138102560 is about 11751.7045572121. The cubic root of 138102560 is about 516.8929114360.

The spelling of 138102560 in words is "one hundred thirty-eight million, one hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 50773 101546 203092 253865 406184 507730 812368 863141 1015460 1624736 1726282 2030920 3452564 4061840 4315705 6905128 8123680 8631410 13810256 17262820 27620512 34525640 69051280 138102560