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12266080 = 255312473
BaseRepresentation
bin101110110010…
…101001100000
3212002011220021
4232302221200
511120003310
61114523224
7206155111
oct56625140
925064807
1012266080
116a18762
124136514
132706148
1418b4208
1511245da
hexbb2a60

12266080 has 48 divisors (see below), whose sum is σ = 29925504. Its totient is φ = 4746240.

The previous prime is 12266071. The next prime is 12266123. The reversal of 12266080 is 8066221.

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 7 ways as a sum of consecutive naturals, for example, 3724 + ... + 6196.

It is an arithmetic number, because the mean of its divisors is an integer number (623448).

Almost surely, 212266080 is an apocalyptic number.

12266080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962752).

12266080 is an abundant number, since it is smaller than the sum of its proper divisors (17659424).

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

12266080 is a wasteful number, since it uses less digits than its factorization.

12266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 12266080 is about 3502.2963895136. The cubic root of 12266080 is about 230.6226355567.

The spelling of 12266080 in words is "twelve million, two hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2473 2480 4946 4960 9892 12365 19784 24730 39568 49460 76663 79136 98920 153326 197840 306652 383315 395680 613304 766630 1226608 1533260 2453216 3066520 6133040 12266080