Search a number
-
+
2168480 = 25513553
BaseRepresentation
bin1000010001011010100000
311002011121002
420101122200
51023342410
6114251132
724301046
oct10213240
94064532
102168480
111251236
12886aa8
135ac032
14406396
152cc7a5
hex2116a0

2168480 has 24 divisors (see below), whose sum is σ = 5123412. Its totient is φ = 867328.

The previous prime is 2168473. The next prime is 2168483. The reversal of 2168480 is 848612.

2168480 is digitally balanced in base 5, 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 2 ways, for example, as 2155024 + 13456 = 1468^2 + 116^2 .

It is not an unprimeable number, because it can be changed into a prime (2168483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6617 + ... + 6936.

22168480 is an apocalyptic number.

2168480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168480 is an abundant number, since it is smaller than the sum of its proper divisors (2954932).

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

2168480 is a wasteful number, since it uses less digits than its factorization.

2168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568 (or 13560 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2168480 is about 1472.5759742709. The cubic root of 2168480 is about 129.4350235298.

The spelling of 2168480 in words is "two million, one hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13553 27106 54212 67765 108424 135530 216848 271060 433696 542120 1084240 2168480