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18880680 = 23357213219
BaseRepresentation
bin100100000000…
…1100010101000
31022112020102110
41020001202220
514313140210
61512402320
7316324500
oct110014250
938466373
1018880680
11a726375
1263a63a0
133bb0b00
142716a00
1519ce420
hex12018a8

18880680 has 288 divisors, whose sum is σ = 75103200. Its totient is φ = 3773952.

The previous prime is 18880679. The next prime is 18880691. The reversal of 18880680 is 8608881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993711 + ... + 993729.

It is an arithmetic number, because the mean of its divisors is an integer number (260775).

Almost surely, 218880680 is an apocalyptic number.

18880680 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 18880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551600).

18880680 is an abundant number, since it is smaller than the sum of its proper divisors (56222520).

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

18880680 is a wasteful number, since it uses less digits than its factorization.

18880680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 18880680 is about 4345.1904446180. The cubic root of 18880680 is about 266.2804060582.

The spelling of 18880680 in words is "eighteen million, eight hundred eighty thousand, six hundred eighty".