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18228960 = 2532512659
BaseRepresentation
bin100010110001…
…0011011100000
31021022010102200
41011202123200
514131311320
61450413200
7310641441
oct105423340
937263380
1018228960
11a320762
126131200
133a13289
1425c72c8
151901290
hex11626e0

18228960 has 72 divisors (see below), whose sum is σ = 62211240. Its totient is φ = 4860672.

The previous prime is 18228941. The next prime is 18228967. The reversal of 18228960 is 6982281.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18228967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4890 + ... + 7769.

It is an arithmetic number, because the mean of its divisors is an integer number (864045).

Almost surely, 218228960 is an apocalyptic number.

18228960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18228960 is an abundant number, since it is smaller than the sum of its proper divisors (43982280).

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

18228960 is a wasteful number, since it uses less digits than its factorization.

18228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 12669 counting only the distinct ones).

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

The square root of 18228960 is about 4269.5386167594. The cubic root of 18228960 is about 263.1806553226.

The spelling of 18228960 in words is "eighteen million, two hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 12659 25318 37977 50636 63295 75954 101272 113931 126590 151908 189885 202544 227862 253180 303816 379770 405088 455724 506360 569655 607632 759540 911448 1012720 1139310 1215264 1519080 1822896 2025440 2278620 3038160 3645792 4557240 6076320 9114480 18228960