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138118960 = 2457246641
BaseRepresentation
bin10000011101110…
…00011100110000
3100121220011121001
420032320130300
5240324301320
621412211344
73264664120
oct1016703460
9317804531
10138118960
1170a67901
123a309b54
13227cc0c5
14144b4c80
15c1d420a
hex83b8730

138118960 has 40 divisors (see below), whose sum is σ = 367003296. Its totient is φ = 47354880.

The previous prime is 138118949. The next prime is 138118969. The reversal of 138118960 is 69811831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1381189602 = 38153694222963200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138118969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122761 + ... + 123880.

Almost surely, 2138118960 is an apocalyptic number.

138118960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138118960 is an abundant number, since it is smaller than the sum of its proper divisors (228884336).

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

138118960 is a wasteful number, since it uses less digits than its factorization.

138118960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246661 (or 246655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 138118960 is about 11752.4023076135. The cubic root of 138118960 is about 516.9133713710.

The spelling of 138118960 in words is "one hundred thirty-eight million, one hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 246641 493282 986564 1233205 1726487 1973128 2466410 3452974 3946256 4932820 6905948 8632435 9865640 13811896 17264870 19731280 27623792 34529740 69059480 138118960