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138526160 = 2455773001
BaseRepresentation
bin10000100000110…
…11110111010000
3100122122212011112
420100123313100
5240430314120
621425032452
73301311233
oct1020336720
9318585145
10138526160
1171215833
123a485728
1322912556
141457d41a
15c264bc5
hex841bdd0

138526160 has 40 divisors (see below), whose sum is σ = 322739016. Its totient is φ = 55296000.

The previous prime is 138526133. The next prime is 138526163. The reversal of 138526160 is 61625831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56370064 + 82156096 = 7508^2 + 9064^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138526163) 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, 44660 + ... + 47660.

Almost surely, 2138526160 is an apocalyptic number.

138526160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138526160 is an abundant number, since it is smaller than the sum of its proper divisors (184212856).

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

138526160 is a wasteful number, since it uses less digits than its factorization.

138526160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 138526160 is about 11769.7136753619. The cubic root of 138526160 is about 517.4208580849.

The spelling of 138526160 in words is "one hundred thirty-eight million, five hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 577 1154 2308 2885 3001 4616 5770 6002 9232 11540 12004 15005 23080 24008 30010 46160 48016 60020 120040 240080 1731577 3463154 6926308 8657885 13852616 17315770 27705232 34631540 69263080 138526160