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18385920 = 210335719
BaseRepresentation
bin100011000100…
…0110000000000
31021121002202000
41012020300000
514201322140
61454024000
7312164160
oct106106000
937532660
1018385920
11a418683
1261a8000
133a69857
1426285a0
151932a30
hex1188c00

18385920 has 352 divisors, whose sum is σ = 78604800. Its totient is φ = 3981312.

The previous prime is 18385919. The next prime is 18385931. The reversal of 18385920 is 2958381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967671 + ... + 967689.

Almost surely, 218385920 is an apocalyptic number.

18385920 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 18385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39302400).

18385920 is an abundant number, since it is smaller than the sum of its proper divisors (60218880).

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

18385920 is a wasteful number, since it uses less digits than its factorization.

18385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 18385920 is about 4287.8805953524. The cubic root of 18385920 is about 263.9338677327.

The spelling of 18385920 in words is "eighteen million, three hundred eighty-five thousand, nine hundred twenty".