Search a number
-
+
6948968 = 2313109613
BaseRepresentation
bin11010100000100001101000
3111002001012012
4122200201220
53234331333
6404535052
7113031245
oct32404150
914061165
106948968
113a16954
1223b1488
131593c20
14ccc5cc
15923e48
hex6a0868

6948968 has 32 divisors (see below), whose sum is σ = 14183400. Its totient is φ = 3172608.

The previous prime is 6948947. The next prime is 6948973. The reversal of 6948968 is 8698496.

It can be written as a sum of positive squares in 4 ways, for example, as 3020644 + 3928324 = 1738^2 + 1982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11030 + ... + 11642.

Almost surely, 26948968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6948968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091700).

6948968 is an abundant number, since it is smaller than the sum of its proper divisors (7234432).

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

6948968 is a wasteful number, since it uses less digits than its factorization.

6948968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 6948968 is about 2636.0895280699. The cubic root of 6948968 is about 190.8271235285.

The spelling of 6948968 in words is "six million, nine hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 613 872 1226 1417 2452 2834 4904 5668 7969 11336 15938 31876 63752 66817 133634 267268 534536 868621 1737242 3474484 6948968