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18327680 = 27574091
BaseRepresentation
bin100010111101…
…0100010000000
31021111010211222
41011322202000
514142441210
61452454212
7311532320
oct105724200
937433758
1018327680
11a388948
12617a368
133a491a7
142611280
151920655
hex117a880

18327680 has 64 divisors (see below), whose sum is σ = 50086080. Its totient is φ = 6282240.

The previous prime is 18327679. The next prime is 18327703. The reversal of 18327680 is 8672381.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 18327680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2435 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (782595).

Almost surely, 218327680 is an apocalyptic number.

18327680 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 18327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040).

18327680 is an abundant number, since it is smaller than the sum of its proper divisors (31758400).

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

18327680 is an equidigital number, since it uses as much as digits as its factorization.

18327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 18327680 is about 4281.0839748830. The cubic root of 18327680 is about 263.6548903494.

The spelling of 18327680 in words is "eighteen million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4091 4480 8182 16364 20455 28637 32728 40910 57274 65456 81820 114548 130912 143185 163640 229096 261824 286370 327280 458192 523648 572740 654560 916384 1145480 1309120 1832768 2290960 2618240 3665536 4581920 9163840 18327680