Search a number
-
+
12631464 = 2334101193
BaseRepresentation
bin110000001011…
…110110101000
3212202202010000
4300023312220
511213201324
61130423000
7212236266
oct60136650
925682100
1012631464
11714822a
124291a60
132803551
14196b436
1511979c9
hexc0bda8

12631464 has 80 divisors (see below), whose sum is σ = 35915220. Its totient is φ = 4147200.

The previous prime is 12631429. The next prime is 12631471. The reversal of 12631464 is 46413621.

It can be written as a sum of positive squares in 2 ways, for example, as 12320100 + 311364 = 3510^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 65352 + ... + 65544.

Almost surely, 212631464 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 12631464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17957610).

12631464 is an abundant number, since it is smaller than the sum of its proper divisors (23283756).

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

12631464 is a wasteful number, since it uses less digits than its factorization.

12631464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 12631464 is about 3554.0770953934. The cubic root of 12631464 is about 232.8902084243.

The spelling of 12631464 in words is "twelve million, six hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 193 202 216 303 324 386 404 579 606 648 772 808 909 1158 1212 1544 1737 1818 2316 2424 2727 3474 3636 4632 5211 5454 6948 7272 8181 10422 10908 13896 15633 16362 19493 20844 21816 31266 32724 38986 41688 58479 62532 65448 77972 116958 125064 155944 175437 233916 350874 467832 526311 701748 1052622 1403496 1578933 2105244 3157866 4210488 6315732 12631464