Search a number
-
+
10677834 = 232593213
BaseRepresentation
bin101000101110…
…111001001010
3202002111020100
4220232321022
510213142314
61020510230
7156521466
oct50567112
922074210
1010677834
116033462
1236ab376
13229b25b
1415bd4a6
15e0dc09
hexa2ee4a

10677834 has 12 divisors (see below), whose sum is σ = 23135346. Its totient is φ = 3559272.

The previous prime is 10677833. The next prime is 10677839. The reversal of 10677834 is 43877601.

10677834 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 only one way, i.e., 7273809 + 3404025 = 2697^2 + 1845^2 .

It is a super-2 number, since 2×106778342 = 228032277863112, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10677833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296589 + ... + 296624.

Almost surely, 210677834 is an apocalyptic number.

10677834 is an abundant number, since it is smaller than the sum of its proper divisors (12457512).

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

10677834 is a wasteful number, since it uses less digits than its factorization.

10677834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593221 (or 593218 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 10677834 is about 3267.6955182514. The cubic root of 10677834 is about 220.2052767212.

It can be divided in two parts, 10677 and 834, that added together give a palindrome (11511).

The spelling of 10677834 in words is "ten million, six hundred seventy-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 593213 1186426 1779639 3559278 5338917 10677834