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12292968 = 233512207
BaseRepresentation
bin101110111001…
…001101101000
3212010112210010
4232321031220
511121333333
61115251520
7206326362
oct56711550
925115703
1012292968
116a36986
124149ba0
13271545c
1418bdd32
15112c563
hexbb9368

12292968 has 16 divisors (see below), whose sum is σ = 30732480. Its totient is φ = 4097648.

The previous prime is 12292967. The next prime is 12292993. The reversal of 12292968 is 86929221.

It is a super-2 number, since 2×122929682 = 302234124498048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12292963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 256080 + ... + 256127.

It is an arithmetic number, because the mean of its divisors is an integer number (1920780).

Almost surely, 212292968 is an apocalyptic number.

It is an amenable number.

12292968 is an abundant number, since it is smaller than the sum of its proper divisors (18439512).

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

12292968 is a wasteful number, since it uses less digits than its factorization.

12292968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512216 (or 512212 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 12292968 is about 3506.1329124835. The cubic root of 12292968 is about 230.7910255655.

The spelling of 12292968 in words is "twelve million, two hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 512207 1024414 1536621 2048828 3073242 4097656 6146484 12292968