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10214112 = 253106397
BaseRepresentation
bin100110111101…
…101011100000
3201012221010110
4212331223200
510103322422
61002531320
7152550516
oct46755340
921187113
1010214112
115847017
123506b40
13216816c
1414dc4b6
15d6b60c
hex9bdae0

10214112 has 24 divisors (see below), whose sum is σ = 26812296. Its totient is φ = 3404672.

The previous prime is 10214111. The next prime is 10214123. The reversal of 10214112 is 21141201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 (10214111) 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, 53103 + ... + 53294.

It is an arithmetic number, because the mean of its divisors is an integer number (1117179).

Almost surely, 210214112 is an apocalyptic number.

10214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10214112 is an abundant number, since it is smaller than the sum of its proper divisors (16598184).

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

10214112 is a wasteful number, since it uses less digits than its factorization.

10214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106410 (or 106402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10214112 is about 3195.9524401968. The cubic root of 10214112 is about 216.9702579099.

Adding to 10214112 its reverse (21141201), we get a palindrome (31355313).

The spelling of 10214112 in words is "ten million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 106397 212794 319191 425588 638382 851176 1276764 1702352 2553528 3404704 5107056 10214112