[go: up one dir, main page]

Search a number
-
+
968325696 = 263213891453
BaseRepresentation
bin111001101101110…
…111101001000000
32111111002001010200
4321231313221000
53440342410241
6240030325200
732665426662
oct7155675100
92444061120
10968325696
1145765a478
12230359800
131257ca0b0
1492864532
155a0264b6
hex39b77a40

968325696 has 168 divisors, whose sum is σ = 3024698040. Its totient is φ = 294395904.

The previous prime is 968325679. The next prime is 968325697. The reversal of 968325696 is 696523869.

It can be written as a sum of positive squares in 4 ways, for example, as 111007296 + 857318400 = 10536^2 + 29280^2 .

It is not an unprimeable number, because it can be changed into a prime (968325697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665706 + ... + 667158.

It is an arithmetic number, because the mean of its divisors is an integer number (18004155).

Almost surely, 2968325696 is an apocalyptic number.

968325696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968325696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512349020).

968325696 is an abundant number, since it is smaller than the sum of its proper divisors (2056372344).

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

968325696 is a wasteful number, since it uses less digits than its factorization.

968325696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1560 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 968325696 is about 31117.9320649686. The cubic root of 968325696 is about 989.3284211744.

The spelling of 968325696 in words is "nine hundred sixty-eight million, three hundred twenty-five thousand, six hundred ninety-six".