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13200312 = 2334312791
BaseRepresentation
bin110010010110…
…101110111000
3220211122102110
4302112232320
511334402222
61150532320
7220125606
oct62265670
926748373
1013200312
1174a6654
1245070a0
132972448
141a78876
15125b30c
hexc96bb8

13200312 has 32 divisors (see below), whose sum is σ = 33770880. Its totient is φ = 4297440.

The previous prime is 13200311. The next prime is 13200323. The reversal of 13200312 is 21300231.

Adding to 13200312 its reverse (21300231), we get a palindrome (34500543).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200311) 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 7 ways as a sum of consecutive naturals, for example, 5364 + ... + 7427.

It is an arithmetic number, because the mean of its divisors is an integer number (1055340).

Almost surely, 213200312 is an apocalyptic number.

13200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13200312 is an abundant number, since it is smaller than the sum of its proper divisors (20570568).

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

13200312 is a wasteful number, since it uses less digits than its factorization.

13200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13200312 is about 3633.2233622501. The cubic root of 13200312 is about 236.3350120976.

The spelling of 13200312 in words is "thirteen million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 12791 25582 38373 51164 76746 102328 153492 306984 550013 1100026 1650039 2200052 3300078 4400104 6600156 13200312