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12292764 = 22311234049
BaseRepresentation
bin101110111001…
…001010011100
3212010112111120
4232321022130
511121332024
61115250540
7206325651
oct56711234
925115446
1012292764
116a36810
124149a50
132715333
1418bdc28
15112c479
hexbb929c

12292764 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3562240.

The previous prime is 12292757. The next prime is 12292783. The reversal of 12292764 is 46729221.

It is a super-2 number, since 2×122927642 = 302224093519392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012 + ... + 5060.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 212292764 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 12292764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12292764 is an abundant number, since it is smaller than the sum of its proper divisors (20366436).

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

12292764 is a wasteful number, since it uses less digits than its factorization.

12292764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4088 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 12292764 is about 3506.1038204822. The cubic root of 12292764 is about 230.7897489107.

It can be divided in two parts, 1229 and 2764, that added together give a palindrome (3993).

The spelling of 12292764 in words is "twelve million, two hundred ninety-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 4049 8098 12147 16196 24294 44539 48588 89078 93127 133617 178156 186254 267234 279381 372508 534468 558762 1024397 1117524 2048794 3073191 4097588 6146382 12292764