Search a number
-
+
12304096 = 25731959
BaseRepresentation
bin101110111011…
…111011100000
3212011010001021
4232323323200
511122212341
61115415224
7206404000
oct56737340
925133037
1012304096
116a44282
124154514
13271a53c
1418c4000
1511309d1
hexbbbee0

12304096 has 96 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 4910976.

The previous prime is 12304079. The next prime is 12304099. The reversal of 12304096 is 69040321.

12304096 is nontrivially palindromic in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 12304096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304099) 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, 208515 + ... + 208573.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 212304096 is an apocalyptic number.

12304096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12304096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

12304096 is an abundant number, since it is smaller than the sum of its proper divisors (17935904).

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

12304096 is an equidigital number, since it uses as much as digits as its factorization.

12304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 12304096 is about 3507.7194870742. The cubic root of 12304096 is about 230.8606444449.

The spelling of 12304096 in words is "twelve million, three hundred four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 59 76 98 112 118 133 152 196 224 236 266 304 343 392 413 472 532 608 686 784 826 931 944 1064 1121 1372 1568 1652 1862 1888 2128 2242 2744 2891 3304 3724 4256 4484 5488 5782 6517 6608 7448 7847 8968 10976 11564 13034 13216 14896 15694 17936 20237 23128 26068 29792 31388 35872 40474 46256 52136 54929 62776 80948 92512 104272 109858 125552 161896 208544 219716 251104 323792 384503 439432 647584 769006 878864 1538012 1757728 3076024 6152048 12304096