Search a number
-
+
10116756 = 22321321617
BaseRepresentation
bin100110100101…
…111010010100
3201000222120200
4212211322110
510042214011
61000500500
7151663626
oct46457224
921028520
1010116756
11578a961
12347a730
132132a60
1414b4c16
15d4c856
hex9a5e94

10116756 has 36 divisors (see below), whose sum is σ = 27541332. Its totient is φ = 3112704.

The previous prime is 10116731. The next prime is 10116761. The reversal of 10116756 is 65761101.

10116756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 8468100 = 1284^2 + 2910^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10341 + ... + 11276.

It is an arithmetic number, because the mean of its divisors is an integer number (765037).

Almost surely, 210116756 is an apocalyptic number.

It is an amenable number.

10116756 is an abundant number, since it is smaller than the sum of its proper divisors (17424576).

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

10116756 is a wasteful number, since it uses less digits than its factorization.

10116756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21640 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10116756 is about 3180.6848319191. The cubic root of 10116756 is about 216.2787040205.

Adding to 10116756 its reverse (65761101), we get a palindrome (75877857).

The spelling of 10116756 in words is "ten million, one hundred sixteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21617 43234 64851 86468 129702 194553 259404 281021 389106 562042 778212 843063 1124084 1686126 2529189 3372252 5058378 10116756