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5666760 = 233551153
BaseRepresentation
bin10101100111011111001000
3101122220100000
4111213133020
52422314020
6321243000
766111111
oct25473710
911586300
105666760
113220580
121a93460
131235418
14a77208
1576e090
hex5677c8

5666760 has 192 divisors, whose sum is σ = 21228480. Its totient is φ = 1347840.

The previous prime is 5666737. The next prime is 5666767. The reversal of 5666760 is 676665.

It is a super-2 number, since 2×56667602 = 64224337795200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5666767) by changing a digit.

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, 106894 + ... + 106946.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 25666760 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 5666760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

5666760 is an abundant number, since it is smaller than the sum of its proper divisors (15561720).

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

5666760 is a wasteful number, since it uses less digits than its factorization.

5666760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5666760 is about 2380.4957466881. The cubic root of 5666760 is about 178.2836868430.

The spelling of 5666760 in words is "five million, six hundred sixty-six thousand, seven hundred sixty".