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18090432 = 263319229
BaseRepresentation
bin100010100000…
…0100111000000
31021001002102000
41011000213000
514112343212
61443424000
7306523533
oct105004700
937032360
1018090432
11a236678
126085000
1339951c9
14258ca1a
1518c51dc
hex11409c0

18090432 has 168 divisors, whose sum is σ = 58064400. Its totient is φ = 5515776.

The previous prime is 18090427. The next prime is 18090463. The reversal of 18090432 is 23409081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18090396 and 18090405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623794 + ... + 623822.

Almost surely, 218090432 is an apocalyptic number.

18090432 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 18090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29032200).

18090432 is an abundant number, since it is smaller than the sum of its proper divisors (39973968).

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

18090432 is a wasteful number, since it uses less digits than its factorization.

18090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18090432 is about 4253.2848482085. The cubic root of 18090432 is about 262.5122933018.

The spelling of 18090432 in words is "eighteen million, ninety thousand, four hundred thirty-two".