Search a number
-
+
968891706 = 23434917137
BaseRepresentation
bin111001110000000…
…001110100111010
32111112010210120000
4321300001310322
53441014013311
6240050413430
733003305106
oct7160016472
92445123500
10968891706
11457a06752
12230591276
13125967903
1492970906
155a0d9056
hex39c01d3a

968891706 has 40 divisors (see below), whose sum is σ = 2177382900. Its totient is φ = 322019712.

The previous prime is 968891683. The next prime is 968891713. The reversal of 968891706 is 607198869.

It can be written as a sum of positive squares in 2 ways, for example, as 917181225 + 51710481 = 30285^2 + 7191^2 .

It is a super-2 number, since 2×9688917062 = 1877502275911180872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47970 + ... + 65106.

Almost surely, 2968891706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968891706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088691450).

968891706 is an abundant number, since it is smaller than the sum of its proper divisors (1208491194).

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

968891706 is a wasteful number, since it uses less digits than its factorization.

968891706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500 (or 17491 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 968891706 is about 31127.0253316953. The cubic root of 968891706 is about 989.5211458303.

The spelling of 968891706 in words is "nine hundred sixty-eight million, eight hundred ninety-one thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 349 698 1047 2094 3141 6282 9423 17137 18846 28269 34274 51411 56538 102822 154233 308466 462699 925398 1388097 2776194 5980813 11961626 17942439 35884878 53827317 107654634 161481951 322963902 484445853 968891706