Search a number
-
+
10056823 = 729107463
BaseRepresentation
bin100110010111…
…010001110111
3200220221100221
4212113101313
510033304243
6555315211
7151324120
oct46272167
920827327
1010056823
115749927
12344bb07
1321116aa
14149b047
15d39bed
hex997477

10056823 has 16 divisors (see below), whose sum is σ = 12026880. Its totient is φ = 8227296.

The previous prime is 10056811. The next prime is 10056829. The reversal of 10056823 is 32865001.

It is a happy number.

It is not a de Polignac number, because 10056823 - 29 = 10056311 is a prime.

It is a super-2 number, since 2×100568232 = 202279377706658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056829) 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, 21490 + ... + 21952.

It is an arithmetic number, because the mean of its divisors is an integer number (751680).

Almost surely, 210056823 is an apocalyptic number.

10056823 is a deficient number, since it is larger than the sum of its proper divisors (1970057).

10056823 is a wasteful number, since it uses less digits than its factorization.

10056823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10056823 is about 3171.2494383129. The cubic root of 10056823 is about 215.8507699804.

The spelling of 10056823 in words is "ten million, fifty-six thousand, eight hundred twenty-three".

Divisors: 1 7 29 107 203 463 749 3103 3241 13427 21721 49541 93989 346787 1436689 10056823