Search a number
-
+
10046946 = 2371318401
BaseRepresentation
bin100110010100…
…110111100010
3200220102211010
4212110313202
510033000241
6555201350
7151253250
oct46246742
920812733
1010046946
115742468
123446256
13210a050
1414975d0
15d36d16
hex994de2

10046946 has 32 divisors (see below), whose sum is σ = 24732288. Its totient is φ = 2649600.

The previous prime is 10046941. The next prime is 10046947. The reversal of 10046946 is 64964001.

10046946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100469462 = 201882247853832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10046941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8655 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (772884).

Almost surely, 210046946 is an apocalyptic number.

10046946 is an abundant number, since it is smaller than the sum of its proper divisors (14685342).

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

10046946 is a wasteful number, since it uses less digits than its factorization.

10046946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18426.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10046946 is about 3169.6917831234. The cubic root of 10046946 is about 215.7800830985.

The spelling of 10046946 in words is "ten million, forty-six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 18401 36802 55203 110406 128807 239213 257614 386421 478426 717639 772842 1435278 1674491 3348982 5023473 10046946