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12292072 = 2313181653
BaseRepresentation
bin101110111000…
…111111101000
3212010111112221
4232320333220
511121321242
61115243424
7206323642
oct56707750
925114487
1012292072
116a36241
124149574
132714c20
1418bd892
15112c167
hexbb8fe8

12292072 has 32 divisors (see below), whose sum is σ = 24995880. Its totient is φ = 5633280.

The previous prime is 12292067. The next prime is 12292073. The reversal of 12292072 is 27029221.

It can be written as a sum of positive squares in 4 ways, for example, as 2842596 + 9449476 = 1686^2 + 3074^2 .

It is not an unprimeable number, because it can be changed into a prime (12292073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18498 + ... + 19150.

Almost surely, 212292072 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 12292072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497940).

12292072 is an abundant number, since it is smaller than the sum of its proper divisors (12703808).

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

12292072 is a wasteful number, since it uses less digits than its factorization.

12292072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 12292072 is about 3506.0051340521. The cubic root of 12292072 is about 230.7854181921.

The spelling of 12292072 in words is "twelve million, two hundred ninety-two thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 181 362 653 724 1306 1448 2353 2612 4706 5224 8489 9412 16978 18824 33956 67912 118193 236386 472772 945544 1536509 3073018 6146036 12292072