Search a number
-
+
18630072 = 2332416311
BaseRepresentation
bin100011100010…
…0010110111000
31022001111122200
41013010112320
514232130242
61503150200
7314232036
oct107042670
938044580
1018630072
11a57505a
1262a5360
133b23a16
14268d556
15198004c
hex11c45b8

18630072 has 48 divisors (see below), whose sum is σ = 51695280. Its totient is φ = 6057600.

The previous prime is 18630067. The next prime is 18630077. The reversal of 18630072 is 27003681.

It is an interprime number because it is at equal distance from previous prime (18630067) and next prime (18630077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18630077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 6107.

It is an arithmetic number, because the mean of its divisors is an integer number (1076985).

Almost surely, 218630072 is an apocalyptic number.

18630072 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 18630072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25847640).

18630072 is an abundant number, since it is smaller than the sum of its proper divisors (33065208).

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

18630072 is a wasteful number, since it uses less digits than its factorization.

18630072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 18630072 is about 4316.2567115500. The cubic root of 18630072 is about 265.0970191811.

The spelling of 18630072 in words is "eighteen million, six hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 6311 12622 18933 25244 37866 50488 56799 75732 113598 151464 227196 258751 454392 517502 776253 1035004 1552506 2070008 2328759 3105012 4657518 6210024 9315036 18630072