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2768180 = 225612269
BaseRepresentation
bin1010100011110100110100
312012122020012
422203310310
51202040210
6135155352
732346332
oct12436464
95178205
102768180
111620858
12b15b58
1375bc9c
14520b52
1539a305
hex2a3d34

2768180 has 24 divisors (see below), whose sum is σ = 5911080. Its totient is φ = 1088640.

The previous prime is 2768179. The next prime is 2768189. The reversal of 2768180 is 818672.

2768180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 195364 + 2572816 = 442^2 + 1604^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768189) 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 7 ways as a sum of consecutive naturals, for example, 86 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (246295).

22768180 is an apocalyptic number.

2768180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768180 is an abundant number, since it is smaller than the sum of its proper divisors (3142900).

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

2768180 is a wasteful number, since it uses less digits than its factorization.

2768180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 2768180 is about 1663.7848418591. The cubic root of 2768180 is about 140.4100224716.

The spelling of 2768180 in words is "two million, seven hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 2269 4538 9076 11345 22690 45380 138409 276818 553636 692045 1384090 2768180