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138614490 = 2355729281
BaseRepresentation
bin10000100001100…
…01011011011010
3100122211100100000
420100301123122
5240441130430
621430553430
73302126610
oct1020613332
9318740300
10138614490
1171276133
123a508876
1322943811
14145a36b0
15c280e60
hex84316da

138614490 has 192 divisors, whose sum is σ = 443439360. Its totient is φ = 30481920.

The previous prime is 138614471. The next prime is 138614513. The reversal of 138614490 is 94416831.

138614490 is a `hidden beast` number, since 1 + 38 + 614 + 4 + 9 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493150 + ... + 493430.

It is an arithmetic number, because the mean of its divisors is an integer number (2309580).

Almost surely, 2138614490 is an apocalyptic number.

138614490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138614490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221719680).

138614490 is an abundant number, since it is smaller than the sum of its proper divisors (304824870).

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

138614490 is a wasteful number, since it uses less digits than its factorization.

138614490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138614490 is about 11773.4655051094. The cubic root of 138614490 is about 517.5308110200.

It can be divided in two parts, 1386 and 14490, that added together give a square (15876 = 1262).

The spelling of 138614490 in words is "one hundred thirty-eight million, six hundred fourteen thousand, four hundred ninety".