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18305728 = 267291409
BaseRepresentation
bin100010111010…
…1001011000000
31021110000201221
41011311023000
514141240403
61452204424
7311411320
oct105651300
937400657
1018305728
11a373401
126169714
133a3c1bc
142607280
151918dbd
hex11752c0

18305728 has 56 divisors (see below), whose sum is σ = 42976800. Its totient is φ = 7569408.

The previous prime is 18305711. The next prime is 18305731. The reversal of 18305728 is 82750381.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18305693 and 18305702.

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, 12288 + ... + 13696.

Almost surely, 218305728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21488400).

18305728 is an abundant number, since it is smaller than the sum of its proper divisors (24671072).

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

18305728 is a wasteful number, since it uses less digits than its factorization.

18305728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 18305728 is about 4278.5193700625. The cubic root of 18305728 is about 263.5495839776.

The spelling of 18305728 in words is "eighteen million, three hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1409 1624 1856 2818 3248 5636 6496 9863 11272 12992 19726 22544 39452 40861 45088 78904 81722 90176 157808 163444 286027 315616 326888 572054 631232 653776 1144108 1307552 2288216 2615104 4576432 9152864 18305728