Search a number
-
+
10830937 = 1373101113
BaseRepresentation
bin101001010100…
…010001011001
3202101021020211
4221110101121
510233042222
61024051121
7161030035
oct51242131
922337224
1010830937
116128497
123763aa1
132322b50
14161d1c5
15e3e277
hexa54459

10830937 has 16 divisors (see below), whose sum is σ = 12046608. Its totient is φ = 9676800.

The previous prime is 10830917. The next prime is 10830943. The reversal of 10830937 is 73903801.

10830937 is digitally balanced in base 3, 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 8 ways, for example, as 404496 + 10426441 = 636^2 + 3229^2 .

It is a cyclic number.

It is not a de Polignac number, because 10830937 - 215 = 10798169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10830899 and 10830908.

It is not an unprimeable number, because it can be changed into a prime (10830917) 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, 95793 + ... + 95905.

It is an arithmetic number, because the mean of its divisors is an integer number (752913).

Almost surely, 210830937 is an apocalyptic number.

It is an amenable number.

10830937 is a deficient number, since it is larger than the sum of its proper divisors (1215671).

10830937 is a wasteful number, since it uses less digits than its factorization.

10830937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 10830937 is about 3291.0388937234. The cubic root of 10830937 is about 221.2527496014.

The spelling of 10830937 in words is "ten million, eight hundred thirty thousand, nine hundred thirty-seven".

Divisors: 1 13 73 101 113 949 1313 1469 7373 8249 11413 95849 107237 148369 833149 10830937