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2018059920 = 243451937443
BaseRepresentation
bin111100001001001…
…0010011010010000
312012122100001210000
41320102102122100
513113110404140
6532130010000
7101003140422
oct17022223220
95178301700
102018059920
11946162318
12483a16900
1326212b6c6
1415203a812
15bc27da30
hex78492690

2018059920 has 400 divisors, whose sum is σ = 7594424640. Its totient is φ = 494926848.

The previous prime is 2018059907. The next prime is 2018059933. The reversal of 2018059920 is 299508102.

It is an interprime number because it is at equal distance from previous prime (2018059907) and next prime (2018059933).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4555219 + ... + 4555661.

Almost surely, 22018059920 is an apocalyptic number.

2018059920 is a gapful number since it is divisible by the number (20) 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 2018059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797212320).

2018059920 is an abundant number, since it is smaller than the sum of its proper divisors (5576364720).

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

2018059920 is a wasteful number, since it uses less digits than its factorization.

2018059920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2018059920 is about 44922.8218169785. The cubic root of 2018059920 is about 1263.7020374686.

The spelling of 2018059920 in words is "two billion, eighteen million, fifty-nine thousand, nine hundred twenty".