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138285060 = 223513716823
BaseRepresentation
bin10000011111000…
…01000000000100
3100122012121102220
420033201000010
5240400110220
621415532340
73266255304
oct1017410004
9318177386
10138285060
1171070681
123a38a0b0
13228598a4
1414519604
15c218540
hex83e1004

138285060 has 48 divisors (see below), whose sum is σ = 390047616. Its totient is φ = 36604672.

The previous prime is 138285023. The next prime is 138285061. The reversal of 138285060 is 60582831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (138285061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (8125992).

Almost surely, 2138285060 is an apocalyptic number.

138285060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138285060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195023808).

138285060 is an abundant number, since it is smaller than the sum of its proper divisors (251762556).

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

138285060 is a wasteful number, since it uses less digits than its factorization.

138285060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16972 (or 16970 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 138285060 is about 11759.4668246481. The cubic root of 138285060 is about 517.1204993815.

The spelling of 138285060 in words is "one hundred thirty-eight million, two hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 16823 33646 50469 67292 84115 100938 168230 201876 252345 336460 504690 1009380 2304751 4609502 6914253 9219004 11523755 13828506 23047510 27657012 34571265 46095020 69142530 138285060