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662868960 = 253513195591
BaseRepresentation
bin100111100000101…
…001001111100000
31201012022020021020
4213200221033200
52324143301320
6145435325440
722266202365
oct4740511740
91635266236
10662868960
11310199296
12165bb0880
13a743b670
146407046c
153d2da940
hex278293e0

662868960 has 192 divisors, whose sum is σ = 2367429120. Its totient is φ = 154552320.

The previous prime is 662868931. The next prime is 662868971. The reversal of 662868960 is 69868266.

It is a super-3 number, since 3×6628689603 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 115765 + ... + 121355.

It is an arithmetic number, because the mean of its divisors is an integer number (12330360).

Almost surely, 2662868960 is an apocalyptic number.

662868960 is a gapful number since it is divisible by the number (60) 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 662868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183714560).

662868960 is an abundant number, since it is smaller than the sum of its proper divisors (1704560160).

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

662868960 is a wasteful number, since it uses less digits than its factorization.

662868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 662868960 is about 25746.2416674745. The cubic root of 662868960 is about 871.9185037323.

The spelling of 662868960 in words is "six hundred sixty-two million, eight hundred sixty-eight thousand, nine hundred sixty".