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18252180 = 22325313271
BaseRepresentation
bin100010110100…
…0000110010100
31021100022021200
41011220012110
514133032210
61451112500
7311066232
oct105500624
937308250
1018252180
11a337151
126142730
133a20a0b
1425d1952
1519080c0
hex1168194

18252180 has 72 divisors (see below), whose sum is σ = 57168384. Its totient is φ = 4708800.

The previous prime is 18252163. The next prime is 18252187. The reversal of 18252180 is 8125281.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18252187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3945 + ... + 7215.

Almost surely, 218252180 is an apocalyptic number.

18252180 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 18252180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28584192).

18252180 is an abundant number, since it is smaller than the sum of its proper divisors (38916204).

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

18252180 is a wasteful number, since it uses less digits than its factorization.

18252180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18252180 is about 4272.2570147406. The cubic root of 18252180 is about 263.2923541780.

It can be divided in two parts, 1825 and 2180, that added together give a triangular number (4005 = T89).

The spelling of 18252180 in words is "eighteen million, two hundred fifty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3271 5580 6542 9813 13084 16355 19626 29439 32710 39252 49065 58878 65420 98130 101401 117756 147195 196260 202802 294390 304203 405604 507005 588780 608406 912609 1014010 1216812 1521015 1825218 2028020 3042030 3650436 4563045 6084060 9126090 18252180