Search a number
-
+
12369672 = 23377101
BaseRepresentation
bin101111001011…
…111100001000
3212021110000000
4233023330020
511131312142
61121043000
7210066120
oct57137410
925243000
1012369672
116a89577
124186460
132741343
1418ddc80
15114514c
hexbcbf08

12369672 has 128 divisors (see below), whose sum is σ = 40147200. Its totient is φ = 3499200.

The previous prime is 12369671. The next prime is 12369677. The reversal of 12369672 is 27696321.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12369671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122422 + ... + 122522.

It is an arithmetic number, because the mean of its divisors is an integer number (313650).

Almost surely, 212369672 is an apocalyptic number.

12369672 is a gapful number since it is divisible by the number (12) 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 12369672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073600).

12369672 is an abundant number, since it is smaller than the sum of its proper divisors (27777528).

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

12369672 is an equidigital number, since it uses as much as digits as its factorization.

12369672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 12369672 is about 3517.0544493937. The cubic root of 12369672 is about 231.2700501729.

It can be divided in two parts, 12369 and 672, that added together give a triangular number (13041 = T161).

The spelling of 12369672 in words is "twelve million, three hundred sixty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 101 108 126 162 168 189 202 216 243 252 303 324 378 404 486 504 567 606 648 707 729 756 808 909 972 1134 1212 1414 1458 1512 1701 1818 1944 2121 2187 2268 2424 2727 2828 2916 3402 3636 4242 4374 4536 5103 5454 5656 5832 6363 6804 7272 8181 8484 8748 10206 10908 12726 13608 15309 16362 16968 17496 19089 20412 21816 24543 25452 30618 32724 38178 40824 49086 50904 57267 61236 65448 73629 76356 98172 114534 122472 147258 152712 171801 196344 220887 229068 294516 343602 441774 458136 515403 589032 687204 883548 1030806 1374408 1546209 1767096 2061612 3092418 4123224 6184836 12369672