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5306784 = 253753149
BaseRepresentation
bin10100001111100110100000
3100222121112120
4110033212200
52324304114
6305424240
763051450
oct24174640
910877476
105306784
112aa507a
12193b080
13113a612
149c1d60
156ec5a9
hex50f9a0

5306784 has 96 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1477632.

The previous prime is 5306783. The next prime is 5306789. The reversal of 5306784 is 4876035.

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

It is not an unprimeable number, because it can be changed into a prime (5306783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35542 + ... + 35690.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 25306784 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 5306784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

5306784 is an abundant number, since it is smaller than the sum of its proper divisors (11022816).

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

5306784 is a wasteful number, since it uses less digits than its factorization.

5306784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5306784 is about 2303.6458061082. The cubic root of 5306784 is about 174.4256983145.

The spelling of 5306784 in words is "five million, three hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 149 159 168 212 224 298 318 336 371 424 447 596 636 672 742 848 894 1043 1113 1192 1272 1484 1696 1788 2086 2226 2384 2544 2968 3129 3576 4172 4452 4768 5088 5936 6258 7152 7897 8344 8904 11872 12516 14304 15794 16688 17808 23691 25032 31588 33376 35616 47382 50064 55279 63176 94764 100128 110558 126352 165837 189528 221116 252704 331674 379056 442232 663348 758112 884464 1326696 1768928 2653392 5306784