Search a number
-
+
12240918 = 23217109367
BaseRepresentation
bin101110101100…
…100000010110
3212000220101100
4232230200112
511113202133
61114210530
7206021544
oct56544026
925026340
1012240918
116a00868
124123a46
1326c7861
1418a8d94
15111be13
hexbac816

12240918 has 48 divisors (see below), whose sum is σ = 28416960. Its totient is φ = 3794688.

The previous prime is 12240913. The next prime is 12240937. The reversal of 12240918 is 81904221.

It is a junction number, because it is equal to n+sod(n) for n = 12240891 and 12240900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33171 + ... + 33537.

It is an arithmetic number, because the mean of its divisors is an integer number (592020).

Almost surely, 212240918 is an apocalyptic number.

12240918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208480).

12240918 is an abundant number, since it is smaller than the sum of its proper divisors (16176042).

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

12240918 is a wasteful number, since it uses less digits than its factorization.

12240918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12240918 is about 3498.7023308650. The cubic root of 12240918 is about 230.4648318349.

The spelling of 12240918 in words is "twelve million, two hundred forty thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 367 654 734 981 1101 1853 1962 2202 3303 3706 5559 6239 6606 11118 12478 16677 18717 33354 37434 40003 56151 80006 112302 120009 240018 360027 680051 720054 1360102 2040153 4080306 6120459 12240918