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12261366 = 2321361859
BaseRepresentation
bin101110110001…
…011111110110
3212001221102200
4232301133312
511114330431
61114445330
7206135265
oct56613766
925057380
1012261366
116a15167
124133846
132703c60
1418b25dc
151122ee6
hexbb17f6

12261366 has 48 divisors (see below), whose sum is σ = 29112720. Its totient is φ = 3706560.

The previous prime is 12261331. The next prime is 12261371. The reversal of 12261366 is 66316221.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13845 + ... + 14703.

It is an arithmetic number, because the mean of its divisors is an integer number (606515).

Almost surely, 212261366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12261366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556360).

12261366 is an abundant number, since it is smaller than the sum of its proper divisors (16851354).

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

12261366 is a wasteful number, since it uses less digits than its factorization.

12261366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 938 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12261366 is about 3501.6233378249. The cubic root of 12261366 is about 230.5930881000.

Adding to 12261366 its reverse (66316221), we get a palindrome (78577587).

The spelling of 12261366 in words is "twelve million, two hundred sixty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 859 1098 1586 1718 2379 2577 4758 5154 7137 7731 11167 14274 15462 22334 33501 52399 67002 100503 104798 157197 201006 314394 471591 681187 943182 1362374 2043561 4087122 6130683 12261366