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138040960 = 275215689
BaseRepresentation
bin10000011101001…
…01011010000000
3100121202012121011
420032211122000
5240314302320
621410410304
73264220531
oct1016453200
9317665534
10138040960
1170a14242
123a290994
13227a2755
1414494688
15c1bb05a
hex83a5680

138040960 has 32 divisors (see below), whose sum is σ = 330005700. Its totient is φ = 55216128.

The previous prime is 138040939. The next prime is 138041069. The reversal of 138040960 is 69040831.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 11343424 = 11256^2 + 3368^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107205 + ... + 108484.

Almost surely, 2138040960 is an apocalyptic number.

138040960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138040960 is an abundant number, since it is smaller than the sum of its proper divisors (191964740).

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

138040960 is an equidigital number, since it uses as much as digits as its factorization.

138040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215708 (or 215696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 138040960 is about 11749.0833685016. The cubic root of 138040960 is about 516.8160474526.

The spelling of 138040960 in words is "one hundred thirty-eight million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 215689 431378 862756 1078445 1725512 2156890 3451024 4313780 6902048 8627560 13804096 17255120 27608192 34510240 69020480 138040960