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18005172 = 22329311669
BaseRepresentation
bin100010010101…
…1110010110100
31020212202110020
41010223302310
514102131142
61441525140
7306020133
oct104536264
936782406
1018005172
11a188609
1260437b0
133965463
14256991a
1518a9cec
hex112bcb4

18005172 has 48 divisors (see below), whose sum is σ = 44889600. Its totient is φ = 5604480.

The previous prime is 18005161. The next prime is 18005177. The reversal of 18005172 is 27150081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18005177) 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, 9954 + ... + 11622.

It is an arithmetic number, because the mean of its divisors is an integer number (935200).

Almost surely, 218005172 is an apocalyptic number.

18005172 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 18005172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444800).

18005172 is an abundant number, since it is smaller than the sum of its proper divisors (26884428).

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

18005172 is a wasteful number, since it uses less digits than its factorization.

18005172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 18005172 is about 4243.2501693867. The cubic root of 18005172 is about 262.0992378959.

The spelling of 18005172 in words is "eighteen million, five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1669 1798 2697 3338 3596 5007 5394 6676 10014 10788 20028 48401 51739 96802 103478 145203 155217 193604 206956 290406 310434 580812 620868 1500431 3000862 4501293 6001724 9002586 18005172