Search a number
-
+
10628333 is a prime number
BaseRepresentation
bin101000100010…
…110011101101
3201222222022222
4220202303231
510210101313
61015445125
7156224252
oct50426355
921888288
1010628333
115aaa251
1236867a5
132281871
1415a9429
15dee208
hexa22ced

10628333 has 2 divisors, whose sum is σ = 10628334. Its totient is φ = 10628332.

The previous prime is 10628329. The next prime is 10628377. The reversal of 10628333 is 33382601.

10628333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6620329 + 4008004 = 2573^2 + 2002^2 .

It is a cyclic number.

It is not a de Polignac number, because 10628333 - 22 = 10628329 is a prime.

It is a super-2 number, since 2×106283332 = 225922924717778, which contains 22 as substring.

It is equal to p703538 and since 10628333 and 703538 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10624333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5314166 + 5314167.

It is an arithmetic number, because the mean of its divisors is an integer number (5314167).

Almost surely, 210628333 is an apocalyptic number.

It is an amenable number.

10628333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10628333 is an equidigital number, since it uses as much as digits as its factorization.

10628333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 10628333 is about 3260.1124213745. The cubic root of 10628333 is about 219.8644688647.

The spelling of 10628333 in words is "ten million, six hundred twenty-eight thousand, three hundred thirty-three".