Search a number
-
+
12310728 = 2334379151
BaseRepresentation
bin101110111101…
…100011001000
3212011110010220
4232331203020
511122420403
61115510040
7206432223
oct56754310
925143126
1012310728
116a49261
124158320
132720571
1418c65ba
151132953
hexbbd8c8

12310728 has 64 divisors (see below), whose sum is σ = 32102400. Its totient is φ = 3931200.

The previous prime is 12310721. The next prime is 12310733. The reversal of 12310728 is 82701321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12310698 and 12310707.

It is not an unprimeable number, because it can be changed into a prime (12310721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81453 + ... + 81603.

It is an arithmetic number, because the mean of its divisors is an integer number (501600).

Almost surely, 212310728 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 12310728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051200).

12310728 is an abundant number, since it is smaller than the sum of its proper divisors (19791672).

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

12310728 is a wasteful number, since it uses less digits than its factorization.

12310728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12310728 is about 3508.6647032739. The cubic root of 12310728 is about 230.9021155341.

The spelling of 12310728 in words is "twelve million, three hundred ten thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 79 86 129 151 158 172 237 258 302 316 344 453 474 516 604 632 906 948 1032 1208 1812 1896 3397 3624 6493 6794 10191 11929 12986 13588 19479 20382 23858 25972 27176 35787 38958 40764 47716 51944 71574 77916 81528 95432 143148 155832 286296 512947 1025894 1538841 2051788 3077682 4103576 6155364 12310728