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5307264 = 273217271
BaseRepresentation
bin10100001111101110000000
3100222122012100
4110033232000
52324313024
6305430400
763053034
oct24175600
910878170
105307264
112aa5476
12193b400
13113a8c1
149c21c4
156ec7c9
hex50fb80

5307264 has 96 divisors (see below), whose sum is σ = 16230240. Its totient is φ = 1658880.

The previous prime is 5307233. The next prime is 5307311. The reversal of 5307264 is 4627035.

It is a happy number.

5307264 is a `hidden beast` number, since 530 + 72 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 19449 + ... + 19719.

It is an arithmetic number, because the mean of its divisors is an integer number (169065).

Almost surely, 25307264 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 5307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115120).

5307264 is an abundant number, since it is smaller than the sum of its proper divisors (10922976).

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

5307264 is a wasteful number, since it uses less digits than its factorization.

5307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

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

The square root of 5307264 is about 2303.7499864352. The cubic root of 5307264 is about 174.4309571059.

The spelling of 5307264 in words is "five million, three hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 271 272 288 306 384 408 542 544 576 612 813 816 1084 1088 1152 1224 1626 1632 2168 2176 2439 2448 3252 3264 4336 4607 4878 4896 6504 6528 8672 9214 9756 9792 13008 13821 17344 18428 19512 19584 26016 27642 34688 36856 39024 41463 52032 55284 73712 78048 82926 104064 110568 147424 156096 165852 221136 294848 312192 331704 442272 589696 663408 884544 1326816 1769088 2653632 5307264