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18941328 = 24327192343
BaseRepresentation
bin100100001000…
…0010110010000
31022122022121200
41020100112100
514322110303
61513551200
7316666350
oct110202620
938568550
1018941328
11a76799a
126415500
133c025b3
142730b60
1519e23a3
hex1210590

18941328 has 240 divisors, whose sum is σ = 68090880. Its totient is φ = 4790016.

The previous prime is 18941323. The next prime is 18941333. The reversal of 18941328 is 82314981.

It is an interprime number because it is at equal distance from previous prime (18941323) and next prime (18941333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18941292 and 18941301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18941323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 440475 + ... + 440517.

It is an arithmetic number, because the mean of its divisors is an integer number (283712).

Almost surely, 218941328 is an apocalyptic number.

18941328 is a gapful number since it is divisible by the number (18) 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 18941328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045440).

18941328 is an abundant number, since it is smaller than the sum of its proper divisors (49149552).

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

18941328 is a wasteful number, since it uses less digits than its factorization.

18941328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 18941328 is about 4352.1635998662. The cubic root of 18941328 is about 266.5652141854.

The spelling of 18941328 in words is "eighteen million, nine hundred forty-one thousand, three hundred twenty-eight".