Search a number
-
+
12696210 = 233559797
BaseRepresentation
bin110000011011…
…101010010010
3212220000221000
4300123222102
511222234320
61132042430
7212626122
oct60335222
925800830
1012696210
11719193a
124303416
132826b67
141986c82
1511abc90
hexc1ba92

12696210 has 64 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3324096.

The previous prime is 12696209. The next prime is 12696221. The reversal of 12696210 is 1269621.

It is a super-2 number, since 2×126962102 = 322387496728200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 15532 + ... + 16328.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 212696210 is an apocalyptic number.

12696210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12696210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

12696210 is an abundant number, since it is smaller than the sum of its proper divisors (21777390).

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

12696210 is a wasteful number, since it uses less digits than its factorization.

12696210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12696210 is about 3563.1741467405. The cubic root of 12696210 is about 233.2874444905.

The spelling of 12696210 in words is "twelve million, six hundred ninety-six thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 797 885 1062 1593 1594 1770 2391 2655 3186 3985 4782 5310 7173 7965 7970 11955 14346 15930 21519 23910 35865 43038 47023 71730 94046 107595 141069 215190 235115 282138 423207 470230 705345 846414 1269621 1410690 2116035 2539242 4232070 6348105 12696210