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18300272 = 24232232
BaseRepresentation
bin100010111001…
…1110101110000
31021102202020212
41011303311300
514141102042
61452123252
7311356364
oct105636560
937382225
1018300272
11a36a2a1
126166528
133a39883
1426052a4
151917482
hex1173d70

18300272 has 30 divisors (see below), whose sum is σ = 37165032. Its totient is φ = 8713056.

The previous prime is 18300263. The next prime is 18300277. The reversal of 18300272 is 27200381.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18300277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81953 + ... + 82175.

Almost surely, 218300272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18300272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582516).

18300272 is an abundant number, since it is smaller than the sum of its proper divisors (18864760).

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

18300272 is an equidigital number, since it uses as much as digits as its factorization.

18300272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 18300272 is about 4277.8817187949. The cubic root of 18300272 is about 263.5233978313.

Multiplying 18300272 by its sum of digits (23), we get a square (420906256 = 205162).

18300272 divided by its sum of digits (23) gives a square (795664 = 8922).

The spelling of 18300272 in words is "eighteen million, three hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 184 223 368 446 892 1784 3568 5129 10258 20516 41032 49729 82064 99458 198916 397832 795664 1143767 2287534 4575068 9150136 18300272