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12464 = 241941
BaseRepresentation
bin11000010110000
3122002122
43002300
5344324
6133412
751224
oct30260
918078
1012464
119401
127268
13589a
144784
153a5e
hex30b0

12464 has 20 divisors (see below), whose sum is σ = 26040. Its totient is φ = 5760.

The previous prime is 12457. The next prime is 12473. The reversal of 12464 is 46421.

Adding to 12464 its reverse (46421), we get a palindrome (58885).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is an unprimeable number.

12464 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 284 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

212464 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 12464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020).

12464 is an abundant number, since it is smaller than the sum of its proper divisors (13576).

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

12464 is a wasteful number, since it uses less digits than its factorization.

12464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 12464 is about 111.6422858956. The cubic root of 12464 is about 23.1856431189.

The spelling of 12464 in words is "twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 6232 12464