Search a number
-
+
10266876 = 2232285191
BaseRepresentation
bin100111001010…
…100011111100
3201022121111200
4213022203330
510112020001
61004015500
7153160404
oct47124374
921277450
1010266876
115882724
123531590
132186199
141513804
15d7c086
hex9ca8fc

10266876 has 18 divisors (see below), whose sum is σ = 25952472. Its totient is φ = 3422280.

The previous prime is 10266869. The next prime is 10266887. The reversal of 10266876 is 67866201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×102668764 (a number of 29 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 285191 = 10266876 / (1 + 0 + 2 + 6 + 6 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10266876.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 142560 + ... + 142631.

It is an arithmetic number, because the mean of its divisors is an integer number (1441804).

Almost surely, 210266876 is an apocalyptic number.

It is an amenable number.

10266876 is an abundant number, since it is smaller than the sum of its proper divisors (15685596).

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

10266876 is a wasteful number, since it uses less digits than its factorization.

10266876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285201 (or 285196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10266876 is about 3204.1966231803. The cubic root of 10266876 is about 217.3432243189.

The spelling of 10266876 in words is "ten million, two hundred sixty-six thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 285191 570382 855573 1140764 1711146 2566719 3422292 5133438 10266876