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138122640 = 24325191837
BaseRepresentation
bin10000011101110…
…01010110010000
3100121220100122100
420032321112100
5240324411030
621412240400
73265010625
oct1016712620
9317810570
10138122640
1170a6a647
123a310100
1322800996
14144b634c
15c1d5360
hex83b9590

138122640 has 60 divisors (see below), whose sum is σ = 463864284. Its totient is φ = 36832512.

The previous prime is 138122629. The next prime is 138122653. The reversal of 138122640 is 46221831.

138122640 is a `hidden beast` number, since 1 + 3 + 8 + 12 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94245264 + 43877376 = 9708^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95199 + ... + 96638.

Almost surely, 2138122640 is an apocalyptic number.

138122640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138122640 is an abundant number, since it is smaller than the sum of its proper divisors (325741644).

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

138122640 is a wasteful number, since it uses less digits than its factorization.

138122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191856 (or 191847 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138122640 is about 11752.5588703056. The cubic root of 138122640 is about 516.9179621583.

The spelling of 138122640 in words is "one hundred thirty-eight million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 191837 383674 575511 767348 959185 1151022 1534696 1726533 1918370 2302044 2877555 3069392 3453066 3836740 4604088 5755110 6906132 7673480 8632665 9208176 11510220 13812264 15346960 17265330 23020440 27624528 34530660 46040880 69061320 138122640