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285268960 = 2551782931
BaseRepresentation
bin10001000000001…
…101101111100000
3201212210011110001
4101000031233200
51041012101320
644150145344
710032513634
oct2100155740
9655704401
10285268960
11137032879
127b652254
1347140a02
1429c5adc4
151a09e20a
hex1100dbe0

285268960 has 24 divisors (see below), whose sum is σ = 673948296. Its totient is φ = 114107520.

The previous prime is 285268937. The next prime is 285268961. The reversal of 285268960 is 69862582.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 285268960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285268961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 891306 + ... + 891625.

It is an arithmetic number, because the mean of its divisors is an integer number (28081179).

Almost surely, 2285268960 is an apocalyptic number.

285268960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285268960 is an abundant number, since it is smaller than the sum of its proper divisors (388679336).

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

285268960 is a wasteful number, since it uses less digits than its factorization.

285268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782946 (or 1782938 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 285268960 is about 16889.9070453333. The cubic root of 285268960 is about 658.2913870976.

The spelling of 285268960 in words is "two hundred eighty-five million, two hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1782931 3565862 7131724 8914655 14263448 17829310 28526896 35658620 57053792 71317240 142634480 285268960