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20335264 = 2517291289
BaseRepresentation
bin100110110010…
…0101010100000
31102021010201221
41031210222200
520201212024
62003504424
7334563325
oct115445240
942233657
1020335264
111052a204
126988114
13429cc01
1429b4b4c
151bba3e4
hex1364aa0

20335264 has 48 divisors (see below), whose sum is σ = 43885800. Its totient is φ = 9232384.

The previous prime is 20335253. The next prime is 20335277. The reversal of 20335264 is 46253302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20250000 + 85264 = 4500^2 + 292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15132 + ... + 16420.

Almost surely, 220335264 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 20335264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942900).

20335264 is an abundant number, since it is smaller than the sum of its proper divisors (23550536).

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

20335264 is a wasteful number, since it uses less digits than its factorization.

20335264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 20335264 is about 4509.4638262215. The cubic root of 20335264 is about 272.9501087340.

Adding to 20335264 its reverse (46253302), we get a palindrome (66588566).

The spelling of 20335264 in words is "twenty million, three hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1289 1972 2578 3944 5156 7888 10312 15776 20624 21913 37381 41248 43826 74762 87652 149524 175304 299048 350608 598096 635477 701216 1196192 1270954 2541908 5083816 10167632 20335264