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18369072 = 2433101421
BaseRepresentation
bin100011000010…
…0101000110000
31021120020122000
41012010220300
514200302242
61453414000
7312064101
oct106045060
937506560
1018369072
11a406a57
12619a300
133a61c97
1426223a8
15192ca4c
hex1184a30

18369072 has 80 divisors (see below), whose sum is σ = 53374560. Its totient is φ = 6048000.

The previous prime is 18369059. The next prime is 18369073. The reversal of 18369072 is 27096381.

It is a super-2 number, since 2×183690722 = 674845612282368, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18369073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43422 + ... + 43842.

It is an arithmetic number, because the mean of its divisors is an integer number (667182).

Almost surely, 218369072 is an apocalyptic number.

18369072 is a gapful number since it is divisible by the number (12) 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 18369072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26687280).

18369072 is an abundant number, since it is smaller than the sum of its proper divisors (35005488).

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

18369072 is a wasteful number, since it uses less digits than its factorization.

18369072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 18369072 is about 4285.9155381318. The cubic root of 18369072 is about 263.8532241975.

The spelling of 18369072 in words is "eighteen million, three hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 421 432 606 808 842 909 1212 1263 1616 1684 1818 2424 2526 2727 3368 3636 3789 4848 5052 5454 6736 7272 7578 10104 10908 11367 14544 15156 20208 21816 22734 30312 42521 43632 45468 60624 85042 90936 127563 170084 181872 255126 340168 382689 510252 680336 765378 1020504 1148067 1530756 2041008 2296134 3061512 4592268 6123024 9184536 18369072