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2183680 = 295853
BaseRepresentation
bin1000010101001000000000
311002221110001
420111020000
51024334210
6114445344
724363262
oct10251000
94087401
102183680
1112616a4
12893854
135b5c25
1440bb32
152d203a
hex215200

2183680 has 40 divisors (see below), whose sum is σ = 5241852. Its totient is φ = 872448.

The previous prime is 2183663. The next prime is 2183681. The reversal of 2183680 is 863812.

2183680 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 1937664 + 246016 = 1392^2 + 496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2183681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2134 + ... + 2986.

22183680 is an apocalyptic number.

2183680 is a gapful number since it is divisible by the number (20) 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 2183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620926).

2183680 is an abundant number, since it is smaller than the sum of its proper divisors (3058172).

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

2183680 is an frugal number, since it uses more digits than its factorization.

2183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2183680 is about 1477.7279857944. The cubic root of 2183680 is about 129.7367453663.

The spelling of 2183680 in words is "two million, one hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 853 1280 1706 2560 3412 4265 6824 8530 13648 17060 27296 34120 54592 68240 109184 136480 218368 272960 436736 545920 1091840 2183680