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18112320 = 2632519331
BaseRepresentation
bin100010100010…
…1111101000000
31021002012102200
41011011331000
514114043240
61444113200
7306644412
oct105057500
937065380
1018112320
11a251066
126095800
1339a2165
1425969b2
1518cb930
hex1145f40

18112320 has 168 divisors, whose sum is σ = 65775840. Its totient is φ = 4561920.

The previous prime is 18112309. The next prime is 18112321. The reversal of 18112320 is 2321181.

It is a super-2 number, since 2×181123202 = 656112271564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18112293 and 18112302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18112321) 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, 54555 + ... + 54885.

Almost surely, 218112320 is an apocalyptic number.

18112320 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 18112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32887920).

18112320 is an abundant number, since it is smaller than the sum of its proper divisors (47663520).

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

18112320 is a wasteful number, since it uses less digits than its factorization.

18112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18112320 is about 4255.8571404595. The cubic root of 18112320 is about 262.6181237077.

The spelling of 18112320 in words is "eighteen million, one hundred twelve thousand, three hundred twenty".