Search a number
-
+
12853504 = 28233759
BaseRepresentation
bin110001000010…
…000100000000
3220012000200201
4301002010000
511242303004
61135254544
7214152526
oct61020400
926160621
1012853504
11728a034
12437a454
132880631
1419c8316
1511dd6a4
hexc42100

12853504 has 72 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 5879808.

The previous prime is 12853483. The next prime is 12853531. The reversal of 12853504 is 40535821.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217827 + ... + 217885.

It is an arithmetic number, because the mean of its divisors is an integer number (388360).

Almost surely, 212853504 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 12853504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

12853504 is an abundant number, since it is smaller than the sum of its proper divisors (15108416).

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

12853504 is an equidigital number, since it uses as much as digits as its factorization.

12853504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 12853504 is about 3585.1783777101. The cubic root of 12853504 is about 234.2468964894.

The spelling of 12853504 in words is "twelve million, eight hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 37 46 59 64 74 92 118 128 148 184 236 256 296 368 472 592 736 851 944 1184 1357 1472 1702 1888 2183 2368 2714 2944 3404 3776 4366 4736 5428 5888 6808 7552 8732 9472 10856 13616 15104 17464 21712 27232 34928 43424 50209 54464 69856 86848 100418 108928 139712 173696 200836 217856 279424 347392 401672 558848 803344 1606688 3213376 6426752 12853504