Search a number
-
+
12721842 = 2327313257
BaseRepresentation
bin110000100001…
…111010110010
3212221100002100
4300201322302
511224044332
61132401230
7213063630
oct60417262
925840070
1012721842
1171aa121
124316216
132835723
141992350
1511b467c
hexc21eb2

12721842 has 48 divisors (see below), whose sum is σ = 32527872. Its totient is φ = 3516480.

The previous prime is 12721801. The next prime is 12721843. The reversal of 12721842 is 24812721.

It is not an unprimeable number, because it can be changed into a prime (12721843) 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, 2278 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (677664).

Almost surely, 212721842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12721842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263936).

12721842 is an abundant number, since it is smaller than the sum of its proper divisors (19806030).

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

12721842 is a wasteful number, since it uses less digits than its factorization.

12721842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3300 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12721842 is about 3566.7691262542. The cubic root of 12721842 is about 233.4443313162. Note that the first 3 decimals are identical.

It can be divided in two parts, 127218 and 42, that added together give a triangular number (127260 = T504).

The spelling of 12721842 in words is "twelve million, seven hundred twenty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3257 3906 6514 9771 19542 22799 29313 45598 58626 68397 100967 136794 201934 205191 302901 410382 605802 706769 908703 1413538 1817406 2120307 4240614 6360921 12721842