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10311264 = 253235803
BaseRepresentation
bin100111010101…
…011001100000
3201101212101200
4213111121200
510114430024
61005001200
7153433665
oct47253140
921355350
1010311264
115903007
123553200
1321a0452
141525a6c
15d8a2c9
hex9d5660

10311264 has 36 divisors (see below), whose sum is σ = 29323476. Its totient is φ = 3436992.

The previous prime is 10311263. The next prime is 10311277. The reversal of 10311264 is 46211301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311263) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17614 + ... + 18189.

It is an arithmetic number, because the mean of its divisors is an integer number (814541).

Almost surely, 210311264 is an apocalyptic number.

It is an amenable number.

10311264 is an abundant number, since it is smaller than the sum of its proper divisors (19012212).

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

10311264 is a wasteful number, since it uses less digits than its factorization.

10311264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35819 (or 35808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10311264 is about 3211.1156939606. The cubic root of 10311264 is about 217.6559958976.

Adding to 10311264 its reverse (46211301), we get a palindrome (56522565).

The spelling of 10311264 in words is "ten million, three hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35803 71606 107409 143212 214818 286424 322227 429636 572848 644454 859272 1145696 1288908 1718544 2577816 3437088 5155632 10311264