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5305104 = 2432719277
BaseRepresentation
bin10100001111001100010000
3100222112020100
4110033030100
52324230404
6305412400
763043530
oct24171420
910875210
105305104
112aa3892
12193a100
13113991c
149c14c0
156ebd39
hex50f310

5305104 has 120 divisors (see below), whose sum is σ = 17925440. Its totient is φ = 1430784.

The previous prime is 5305093. The next prime is 5305151. The reversal of 5305104 is 4015035.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19014 + ... + 19290.

Almost surely, 25305104 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 5305104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962720).

5305104 is an abundant number, since it is smaller than the sum of its proper divisors (12620336).

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

5305104 is a wasteful number, since it uses less digits than its factorization.

5305104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5305104 is about 2303.2811378553. The cubic root of 5305104 is about 174.4072900468.

The spelling of 5305104 in words is "five million, three hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 277 304 336 342 399 456 504 532 554 684 798 831 912 1008 1064 1108 1197 1368 1596 1662 1939 2128 2216 2394 2493 2736 3192 3324 3878 4432 4788 4986 5263 5817 6384 6648 7756 9576 9972 10526 11634 13296 15512 15789 17451 19152 19944 21052 23268 31024 31578 34902 36841 39888 42104 46536 47367 63156 69804 73682 84208 93072 94734 110523 126312 139608 147364 189468 221046 252624 279216 294728 331569 378936 442092 589456 663138 757872 884184 1326276 1768368 2652552 5305104