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5732064 = 2532131531
BaseRepresentation
bin10101110111011011100000
3101210012220200
4111313123200
52431411224
6322505200
766502362
oct25673340
911705820
105732064
113265648
121b05200
131259070
14a92d32
157835c9
hex5776e0

5732064 has 72 divisors (see below), whose sum is σ = 17565912. Its totient is φ = 1762560.

The previous prime is 5732057. The next prime is 5732071. The reversal of 5732064 is 4602375.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5732057) and next prime (5732071).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2979 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (243971).

Almost surely, 25732064 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 5732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782956).

5732064 is an abundant number, since it is smaller than the sum of its proper divisors (11833848).

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

5732064 is a wasteful number, since it uses less digits than its factorization.

5732064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5732064 is about 2394.1729260853. The cubic root of 5732064 is about 178.9659225829.

The spelling of 5732064 in words is "five million, seven hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1531 1872 3062 3744 4593 6124 9186 12248 13779 18372 19903 24496 27558 36744 39806 48992 55116 59709 73488 79612 110232 119418 146976 159224 179127 220464 238836 318448 358254 440928 477672 636896 716508 955344 1433016 1910688 2866032 5732064