Search a number
-
+
12532716 = 22327411213
BaseRepresentation
bin101111110011…
…101111101100
3212120201122200
4233303233230
511202021331
61124341500
7211345350
oct57635754
925521580
1012532716
117090019
124244890
13279a611
141943460
1511785e6
hexbf3bec

12532716 has 72 divisors (see below), whose sum is σ = 37119264. Its totient is φ = 3490560.

The previous prime is 12532703. The next prime is 12532733. The reversal of 12532716 is 61723521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12532716.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9726 + ... + 10938.

Almost surely, 212532716 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 12532716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18559632).

12532716 is an abundant number, since it is smaller than the sum of its proper divisors (24586548).

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

12532716 is a wasteful number, since it uses less digits than its factorization.

12532716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1266 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12532716 is about 3540.1576236094. The cubic root of 12532716 is about 232.2817375885.

It can be divided in two parts, 1253 and 2716, that added together give a square (3969 = 632).

The spelling of 12532716 in words is "twelve million, five hundred thirty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1213 1476 1722 2426 2583 3444 3639 4852 5166 7278 8491 10332 10917 14556 16982 21834 25473 33964 43668 49733 50946 76419 99466 101892 149199 152838 198932 298398 305676 348131 447597 596796 696262 895194 1044393 1392524 1790388 2088786 3133179 4177572 6266358 12532716