Search a number
-
+
12107436 = 2231137267
BaseRepresentation
bin101110001011…
…111010101100
3211210010021120
4232023322230
511044414221
61111300540
7204624435
oct56137254
924703246
1012107436
11691a550
12407a750
13267bb83
14187248c
1510e25c6
hexb8beac

12107436 has 72 divisors (see below), whose sum is σ = 32147136. Its totient is φ = 3516480.

The previous prime is 12107429. The next prime is 12107437. The reversal of 12107436 is 63470121.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12107437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180675 + ... + 180741.

It is an arithmetic number, because the mean of its divisors is an integer number (446488).

Almost surely, 212107436 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 12107436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073568).

12107436 is an abundant number, since it is smaller than the sum of its proper divisors (20039700).

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

12107436 is a wasteful number, since it uses less digits than its factorization.

12107436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12107436 is about 3479.5741118706. The cubic root of 12107436 is about 229.6240613454.

Adding to 12107436 its reverse (63470121), we get a palindrome (75577557).

It can be divided in two parts, 1210 and 7436, that added together give a triangular number (8646 = T131).

The spelling of 12107436 in words is "twelve million, one hundred seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 67 74 111 132 134 148 201 222 268 402 407 444 737 804 814 1221 1369 1474 1628 2211 2442 2479 2738 2948 4107 4422 4884 4958 5476 7437 8214 8844 9916 14874 15059 16428 27269 29748 30118 45177 54538 60236 81807 90354 91723 109076 163614 180708 183446 275169 327228 366892 550338 1008953 1100676 2017906 3026859 4035812 6053718 12107436