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18840064 = 29311187
BaseRepresentation
bin100011111011…
…1101000000000
31022110011201011
41013313220000
514310340224
61511450304
7316065205
oct107675000
938404634
1018840064
11a6a8901
126386994
133b98489
142705cac
1519c2394
hex11f7a00

18840064 has 40 divisors (see below), whose sum is σ = 38890368. Its totient is φ = 9108480.

The previous prime is 18840043. The next prime is 18840071. The reversal of 18840064 is 46004881.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15279 + ... + 16465.

Almost surely, 218840064 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 18840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445184).

18840064 is an abundant number, since it is smaller than the sum of its proper divisors (20050304).

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

18840064 is an equidigital number, since it uses as much as digits as its factorization.

18840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 18840064 is about 4340.5142552467. The cubic root of 18840064 is about 266.0893287332.

The spelling of 18840064 in words is "eighteen million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1187 1984 2374 3968 4748 7936 9496 15872 18992 36797 37984 73594 75968 147188 151936 294376 303872 588752 607744 1177504 2355008 4710016 9420032 18840064