Search a number
-
+
10105460 = 225975209
BaseRepresentation
bin100110100011…
…001001110100
3201000102002022
4212203021310
510041333320
61000332312
7151615661
oct46431164
921012068
1010105460
115782422
123474098
13212a881
1414b0a68
15d49325
hex9a3274

10105460 has 24 divisors (see below), whose sum is σ = 21444360. Its totient is φ = 3999744.

The previous prime is 10105453. The next prime is 10105481. The reversal of 10105460 is 6450101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3407716 + 6697744 = 1846^2 + 2588^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 665 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (893515).

Almost surely, 210105460 is an apocalyptic number.

10105460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105460 is an abundant number, since it is smaller than the sum of its proper divisors (11338900).

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

10105460 is a wasteful number, since it uses less digits than its factorization.

10105460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10105460 is about 3178.9086177492. The cubic root of 10105460 is about 216.1981777434.

Adding to 10105460 its reverse (6450101), we get a palindrome (16555561).

The spelling of 10105460 in words is "ten million, one hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 5209 10418 20836 26045 52090 104180 505273 1010546 2021092 2526365 5052730 10105460