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5830864 = 241317297
BaseRepresentation
bin10110001111100011010000
3101222020102221
4112033203100
52443041424
6324550424
7100363414
oct26174320
911866387
105830864
1133228a6
121b52414
131292020
14abad44
157a29e4
hex58f8d0

5830864 has 60 divisors (see below), whose sum is σ = 13057324. Its totient is φ = 2506752.

The previous prime is 5830861. The next prime is 5830871. The reversal of 5830864 is 4680385.

It can be written as a sum of positive squares in 6 ways, for example, as 32400 + 5798464 = 180^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5830861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60064 + ... + 60160.

Almost surely, 25830864 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 5830864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528662).

5830864 is an abundant number, since it is smaller than the sum of its proper divisors (7226460).

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

5830864 is a wasteful number, since it uses less digits than its factorization.

5830864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 5830864 is about 2414.7182030208. The cubic root of 5830864 is about 179.9883119983.

The spelling of 5830864 in words is "five million, eight hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 97 104 136 194 208 221 272 289 388 442 578 776 884 1156 1261 1552 1649 1768 2312 2522 3298 3536 3757 4624 5044 6596 7514 10088 13192 15028 20176 21437 26384 28033 30056 42874 56066 60112 85748 112132 171496 224264 342992 364429 448528 728858 1457716 2915432 5830864