Search a number
-
+
960590664 = 233511291549
BaseRepresentation
bin111001010000010…
…111001101001000
32110221112001200000
4321100113031020
53431402400124
6235152443000
732542612605
oct7120271510
92427461600
10960590664
11453256a90
12229849460
1312401c457
149180d6ac
15594e96c9
hex39417348

960590664 has 192 divisors, whose sum is σ = 3046680000. Its totient is φ = 280869120.

The previous prime is 960590647. The next prime is 960590671. The reversal of 960590664 is 466095069.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619362 + ... + 620910.

It is an arithmetic number, because the mean of its divisors is an integer number (15868125).

Almost surely, 2960590664 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 960590664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340000).

960590664 is an abundant number, since it is smaller than the sum of its proper divisors (2086089336).

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

960590664 is a wasteful number, since it uses less digits than its factorization.

960590664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 960590664 is about 30993.3971032541. The cubic root of 960590664 is about 986.6871080701.

The spelling of 960590664 in words is "nine hundred sixty million, five hundred ninety thousand, six hundred sixty-four".