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18098640 = 243557219
BaseRepresentation
bin100010100001…
…0100111010000
31021001111200000
41011002213100
514113124030
61443530000
7306556500
oct105024720
937044600
1018098640
11a24185a
126089900
133998b71
142591a00
1518c7860
hex11429d0

18098640 has 360 divisors, whose sum is σ = 77182560. Its totient is φ = 3919104.

The previous prime is 18098627. The next prime is 18098651. The reversal of 18098640 is 4689081.

It is a happy number.

18098640 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 18098595 and 18098604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952551 + ... + 952569.

It is an arithmetic number, because the mean of its divisors is an integer number (214396).

Almost surely, 218098640 is an apocalyptic number.

18098640 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 18098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38591280).

18098640 is an abundant number, since it is smaller than the sum of its proper divisors (59083920).

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

18098640 is a wasteful number, since it uses less digits than its factorization.

18098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18098640 is about 4254.2496400658. The cubic root of 18098640 is about 262.5519897024.

The spelling of 18098640 in words is "eighteen million, ninety-eight thousand, six hundred forty".