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18680064 = 283131871
BaseRepresentation
bin100011101000…
…0100100000000
31022011001020020
41013100210000
514240230224
61504213440
7314530554
oct107204400
938131206
1018680064
11a5a9677
12630a280
133b406c0
1426a3864
15198ec79
hex11d0900

18680064 has 72 divisors (see below), whose sum is σ = 53569152. Its totient is φ = 5744640.

The previous prime is 18680047. The next prime is 18680083. The reversal of 18680064 is 46008681.

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 7 ways as a sum of consecutive naturals, for example, 9049 + ... + 10919.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 218680064 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 18680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784576).

18680064 is an abundant number, since it is smaller than the sum of its proper divisors (34889088).

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

18680064 is a wasteful number, since it uses less digits than its factorization.

18680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 18680064 is about 4322.0439609055. The cubic root of 18680064 is about 265.3339281542. Note that the first 3 decimals are identical.

The spelling of 18680064 in words is "eighteen million, six hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 1871 2496 3328 3742 4992 5613 7484 9984 11226 14968 22452 24323 29936 44904 48646 59872 72969 89808 97292 119744 145938 179616 194584 239488 291876 359232 389168 478976 583752 718464 778336 1167504 1436928 1556672 2335008 3113344 4670016 6226688 9340032 18680064