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18613980 = 223257111779
BaseRepresentation
bin100011100000…
…0011011011100
31022000200120200
41013000123130
514231121410
61502543500
7314134110
oct107003334
938020520
1018613980
11a563a60
126297b90
133b195b8
142687740
15197a3c0
hex11c06dc

18613980 has 288 divisors, whose sum is σ = 75479040. Its totient is φ = 3594240.

The previous prime is 18613979. The next prime is 18614003. The reversal of 18613980 is 8931681.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235581 + ... + 235659.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 218613980 is an apocalyptic number.

18613980 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 18613980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

18613980 is an abundant number, since it is smaller than the sum of its proper divisors (56865060).

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

18613980 is a wasteful number, since it uses less digits than its factorization.

18613980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18613980 is about 4314.3921935772. The cubic root of 18613980 is about 265.0206700383.

The spelling of 18613980 in words is "eighteen million, six hundred thirteen thousand, nine hundred eighty".