Search a number
-
+
6760020 = 2235611847
BaseRepresentation
bin11001110010011001010100
3110201110000010
4121302121110
53212310040
6400520220
7111313341
oct31623124
913643003
106760020
1138a79a3
122320070
131528c17
14c7d7c8
158d7e80
hex672654

6760020 has 48 divisors (see below), whose sum is σ = 19248768. Its totient is φ = 1772160.

The previous prime is 6760009. The next prime is 6760037. The reversal of 6760020 is 200676.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2737 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (401016).

Almost surely, 26760020 is an apocalyptic number.

6760020 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 6760020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624384).

6760020 is an abundant number, since it is smaller than the sum of its proper divisors (12488748).

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

6760020 is a wasteful number, since it uses less digits than its factorization.

6760020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 6760020 is about 2600.0038461510. The cubic root of 6760020 is about 189.0816253903.

Adding to 6760020 its reverse (200676), we get a palindrome (6960696).

The spelling of 6760020 in words is "six million, seven hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 1847 3660 3694 5541 7388 9235 11082 18470 22164 27705 36940 55410 110820 112667 225334 338001 450668 563335 676002 1126670 1352004 1690005 2253340 3380010 6760020