Search a number
-
+
969559968 = 2531319311319
BaseRepresentation
bin111001110010100…
…100111110100000
32111120101202020110
4321302210332200
53441201404333
6240113011320
733012060306
oct7162447640
92446352213
10969559968
11458322833
12230853b40
13125b3cb30
1492aa6276
155a1bc063
hex39ca4fa0

969559968 has 192 divisors, whose sum is σ = 2980454400. Its totient is φ = 273300480.

The previous prime is 969559967. The next prime is 969559979. The reversal of 969559968 is 869955969.

969559968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9695599682 = 1880093063096322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 969559899 and 969559908.

It is not an unprimeable number, because it can be changed into a prime (969559961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734413 + ... + 735731.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 2969559968 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 969559968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

969559968 is an abundant number, since it is smaller than the sum of its proper divisors (2010894432).

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

969559968 is a wasteful number, since it uses less digits than its factorization.

969559968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 66.

The square root of 969559968 is about 31137.7579154312. The cubic root of 969559968 is about 989.7485903791.

The spelling of 969559968 in words is "nine hundred sixty-nine million, five hundred fifty-nine thousand, nine hundred sixty-eight".