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18668880 = 243454367
BaseRepresentation
bin100011100110…
…1110101010000
31022010110220000
41013031311100
514234401010
61504050000
7314453136
oct107156520
938113800
1018668880
11a5a122a
126303900
133b38599
14269d756
15198b7c0
hex11cdd50

18668880 has 200 divisors, whose sum is σ = 67337952. Its totient is φ = 4790016.

The previous prime is 18668861. The next prime is 18668921. The reversal of 18668880 is 8886681.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 278607 + ... + 278673.

Almost surely, 218668880 is an apocalyptic number.

18668880 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 18668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33668976).

18668880 is an abundant number, since it is smaller than the sum of its proper divisors (48669072).

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

18668880 is a wasteful number, since it uses less digits than its factorization.

18668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 18668880 is about 4320.7499349071. The cubic root of 18668880 is about 265.2809646120.

The spelling of 18668880 in words is "eighteen million, six hundred sixty-eight thousand, eight hundred eighty".