Search a number
-
+
12144726 = 2321183739
BaseRepresentation
bin101110010101…
…000001010110
3211212000102200
4232111001112
511102112401
61112145330
7205141236
oct56250126
924760380
1012144726
116945570
124098246
132692b39
141881cc6
1510ed686
hexb95056

12144726 has 48 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 3630960.

The previous prime is 12144709. The next prime is 12144739. The reversal of 12144726 is 62744121.

It is a self number, because there is not a number n which added to its sum of digits gives 12144726.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16065 + ... + 16803.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 212144726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

12144726 is an abundant number, since it is smaller than the sum of its proper divisors (16946154).

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

12144726 is a wasteful number, since it uses less digits than its factorization.

12144726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 838 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12144726 is about 3484.9284067252. The cubic root of 12144726 is about 229.8595613982.

Adding to 12144726 its reverse (62744121), we get a palindrome (74888847).

The spelling of 12144726 in words is "twelve million, one hundred forty-four thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 739 747 913 1478 1494 1826 2217 2739 4434 5478 6651 8129 8217 13302 16258 16434 24387 48774 61337 73161 122674 146322 184011 368022 552033 674707 1104066 1349414 2024121 4048242 6072363 12144726