Search a number
-
+
12267712 = 261031861
BaseRepresentation
bin101110110011…
…000011000000
3212002021010201
4232303003000
511120031322
61114534544
7206162632
oct56630300
925067121
1012267712
116a19a06
124137454
132706b02
1418b4a52
151124d27
hexbb30c0

12267712 has 28 divisors (see below), whose sum is σ = 24593296. Its totient is φ = 6071040.

The previous prime is 12267707. The next prime is 12267719. The reversal of 12267712 is 21776221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12267719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5662 + ... + 7522.

It is an arithmetic number, because the mean of its divisors is an integer number (878332).

Almost surely, 212267712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12296648).

12267712 is an abundant number, since it is smaller than the sum of its proper divisors (12325584).

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

12267712 is a wasteful number, since it uses less digits than its factorization.

12267712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1966 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 12267712 is about 3502.5293717541. The cubic root of 12267712 is about 230.6328632048.

It can be divided in two parts, 1226771 and 2, that multiplied together give a palindrome (2453542).

The spelling of 12267712 in words is "twelve million, two hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 1861 3296 3722 6592 7444 14888 29776 59552 119104 191683 383366 766732 1533464 3066928 6133856 12267712