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5312064 = 26373379
BaseRepresentation
bin10100010000111001000000
3100222212210010
4110100321000
52324441224
6305504520
763103032
oct24207100
910885703
105312064
112aa903a
121942140
13113cb44
149c3c52
156ede29
hex510e40

5312064 has 56 divisors (see below), whose sum is σ = 14284960. Its totient is φ = 1741824.

The previous prime is 5312033. The next prime is 5312071. The reversal of 5312064 is 4602135.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5312064.

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, 13827 + ... + 14205.

Almost surely, 25312064 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 5312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142480).

5312064 is an abundant number, since it is smaller than the sum of its proper divisors (8972896).

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

5312064 is a wasteful number, since it uses less digits than its factorization.

5312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5312064 is about 2304.7915307029. The cubic root of 5312064 is about 174.4835275896.

Adding to 5312064 its reverse (4602135), we get a palindrome (9914199).

The spelling of 5312064 in words is "five million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 379 438 584 758 876 1137 1168 1516 1752 2274 2336 3032 3504 4548 4672 6064 7008 9096 12128 14016 18192 24256 27667 36384 55334 72768 83001 110668 166002 221336 332004 442672 664008 885344 1328016 1770688 2656032 5312064