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18988320 = 25351317179
BaseRepresentation
bin100100001101…
…1110100100000
31022201201002010
41020123310200
514330111240
61514552520
7320253351
oct110336440
938651063
1018988320
11a79a22a
126438740
133c1aac0
142743d28
151a01280
hex121bd20

18988320 has 192 divisors, whose sum is σ = 68584320. Its totient is φ = 4374528.

The previous prime is 18988313. The next prime is 18988331. The reversal of 18988320 is 2388981.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105991 + ... + 106169.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 218988320 is an apocalyptic number.

18988320 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 18988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

18988320 is an abundant number, since it is smaller than the sum of its proper divisors (49596000).

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

18988320 is a wasteful number, since it uses less digits than its factorization.

18988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 18988320 is about 4357.5589496873. The cubic root of 18988320 is about 266.7854748372.

The spelling of 18988320 in words is "eighteen million, nine hundred eighty-eight thousand, three hundred twenty".