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18930384 = 243211171937
BaseRepresentation
bin100100000110…
…1101011010000
31022121202121100
41020031223100
514321233014
61513424400
7316622424
oct110155320
938552540
1018930384
11a75a750
12640b100
133bca615
14272ab84
1519de009
hex120dad0

18930384 has 240 divisors, whose sum is σ = 66156480. Its totient is φ = 4976640.

The previous prime is 18930377. The next prime is 18930407. The reversal of 18930384 is 48303981.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511614 + ... + 511650.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 218930384 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 18930384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078240).

18930384 is an abundant number, since it is smaller than the sum of its proper divisors (47226096).

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

18930384 is a wasteful number, since it uses less digits than its factorization.

18930384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18930384 is about 4350.9061125241. The cubic root of 18930384 is about 266.5138652385.

The spelling of 18930384 in words is "eighteen million, nine hundred thirty thousand, three hundred eighty-four".