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18328680 = 233455657
BaseRepresentation
bin100010111101…
…0110001101000
31021111012020000
41011322301220
514143004210
61452503000
7311535246
oct105726150
937435200
1018328680
11a389677
12617aa60
133a49796
142611796
151920ac0
hex117ac68

18328680 has 80 divisors (see below), whose sum is σ = 61615620. Its totient is φ = 4886784.

The previous prime is 18328663. The next prime is 18328691. The reversal of 18328680 is 8682381.

It can be written as a sum of positive squares in 2 ways, for example, as 16695396 + 1633284 = 4086^2 + 1278^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 412 + ... + 6068.

Almost surely, 218328680 is an apocalyptic number.

18328680 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 18328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30807810).

18328680 is an abundant number, since it is smaller than the sum of its proper divisors (43286940).

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

18328680 is a wasteful number, since it uses less digits than its factorization.

18328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18328680 is about 4281.2007661403. The cubic root of 18328680 is about 263.6596854661.

The spelling of 18328680 in words is "eighteen million, three hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 5657 11314 16971 22628 28285 33942 45256 50913 56570 67884 84855 101826 113140 135768 152739 169710 203652 226280 254565 305478 339420 407304 458217 509130 610956 678840 763695 916434 1018260 1221912 1527390 1832868 2036520 2291085 3054780 3665736 4582170 6109560 9164340 18328680