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138120080 = 2457246643
BaseRepresentation
bin10000011101110…
…00101110010000
3100121220020010112
420032320232100
5240324320310
621412220452
73265000310
oct1016705620
9317806115
10138120080
1170a6872a
123a30a728
13227cc777
14144b5440
15c1d4705
hex83b8b90

138120080 has 40 divisors (see below), whose sum is σ = 367006272. Its totient is φ = 47355264.

The previous prime is 138120077. The next prime is 138120089. The reversal of 138120080 is 80021831.

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

It is not an unprimeable number, because it can be changed into a prime (138120089) 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, 122762 + ... + 123881.

Almost surely, 2138120080 is an apocalyptic number.

138120080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138120080 is an abundant number, since it is smaller than the sum of its proper divisors (228886192).

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

138120080 is a wasteful number, since it uses less digits than its factorization.

138120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246663 (or 246657 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 138120080 is about 11752.4499573493. The cubic root of 138120080 is about 516.9147685758.

The spelling of 138120080 in words is "one hundred thirty-eight million, one hundred twenty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 246643 493286 986572 1233215 1726501 1973144 2466430 3453002 3946288 4932860 6906004 8632505 9865720 13812008 17265010 19731440 27624016 34530020 69060040 138120080