Search a number
-
+
18900252 = 22327179419
BaseRepresentation
bin100100000011…
…0010100011100
31022120020021100
41020012110130
514314302002
61513033100
7316435530
oct110062434
938506240
1018900252
11a73a048
1263b5790
133bb99a7
14271dbc0
1519d511c
hex120651c

18900252 has 72 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 5357088.

The previous prime is 18900239. The next prime is 18900253. The reversal of 18900252 is 25200981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18900253) 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, 44899 + ... + 45317.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 218900252 is an apocalyptic number.

18900252 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 18900252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

18900252 is an abundant number, since it is smaller than the sum of its proper divisors (36136548).

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

18900252 is a wasteful number, since it uses less digits than its factorization.

18900252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 18900252 is about 4347.4420065137. The cubic root of 18900252 is about 266.3723843895.

The spelling of 18900252 in words is "eighteen million, nine hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 419 537 716 838 1074 1253 1257 1611 1676 2148 2506 2514 2933 3222 3759 3771 5012 5028 5866 6444 7518 7542 8799 11277 11732 15036 15084 17598 22554 26397 35196 45108 52794 75001 105588 150002 225003 300004 450006 525007 675009 900012 1050014 1350018 1575021 2100028 2700036 3150042 4725063 6300084 9450126 18900252