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20096064 = 2632139251
BaseRepresentation
bin100110010101…
…0010001000000
31101210222121200
41030222101000
520121033224
61554421200
7332546052
oct114522100
941728550
1020096064
111038651a
126891800
134218081
1429518d2
151b6e5c9
hex132a440

20096064 has 84 divisors (see below), whose sum is σ = 58247280. Its totient is φ = 6624000.

The previous prime is 20096059. The next prime is 20096081. The reversal of 20096064 is 46069002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79939 + ... + 80189.

It is an arithmetic number, because the mean of its divisors is an integer number (693420).

Almost surely, 220096064 is an apocalyptic number.

20096064 is a gapful number since it is divisible by the number (24) 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 20096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123640).

20096064 is an abundant number, since it is smaller than the sum of its proper divisors (38151216).

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

20096064 is a wasteful number, since it uses less digits than its factorization.

20096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20096064 is about 4482.8633706594. The cubic root of 20096064 is about 271.8756640491.

The spelling of 20096064 in words is "twenty million, ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 251 278 288 417 502 556 576 753 834 1004 1112 1251 1506 1668 2008 2224 2259 2502 3012 3336 4016 4448 4518 5004 6024 6672 8032 8896 9036 10008 12048 13344 16064 18072 20016 24096 26688 34889 36144 40032 48192 69778 72288 80064 104667 139556 144576 209334 279112 314001 418668 558224 628002 837336 1116448 1256004 1674672 2232896 2512008 3349344 5024016 6698688 10048032 20096064