Search a number
-
+
12353964 = 2237612411
BaseRepresentation
bin101111001000…
…000110101100
3212020122110020
4233020012230
511130311324
61120442140
7210002250
oct57100654
925218406
1012353964
116a78797
124179350
13273714c
1418d8260
151140679
hexbc81ac

12353964 has 48 divisors (see below), whose sum is σ = 33497856. Its totient is φ = 3470400.

The previous prime is 12353953. The next prime is 12353981. The reversal of 12353964 is 46935321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (697872).

Almost surely, 212353964 is an apocalyptic number.

12353964 is a gapful number since it is divisible by the number (14) 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 12353964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748928).

12353964 is an abundant number, since it is smaller than the sum of its proper divisors (21143892).

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

12353964 is a wasteful number, since it uses less digits than its factorization.

12353964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2484 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 12353964 is about 3514.8206213120. The cubic root of 12353964 is about 231.1721136291.

The spelling of 12353964 in words is "twelve million, three hundred fifty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2411 2562 4822 5124 7233 9644 14466 16877 28932 33754 50631 67508 101262 147071 202524 294142 441213 588284 882426 1029497 1764852 2058994 3088491 4117988 6176982 12353964