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2120080 = 24526501
BaseRepresentation
bin1000000101100110010000
310222201012111
420011212100
51020320310
6113235104
724006664
oct10054620
93881174
102120080
111218936
12862a94
13592cb1
143d28a4
152bd28a
hex205990

2120080 has 20 divisors (see below), whose sum is σ = 4929372. Its totient is φ = 848000.

The previous prime is 2120057. The next prime is 2120093. The reversal of 2120080 is 800212.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 1373584 = 864^2 + 1172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2120080.

It is an unprimeable number.

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, 13171 + ... + 13330.

22120080 is an apocalyptic number.

2120080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120080 is an abundant number, since it is smaller than the sum of its proper divisors (2809292).

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

2120080 is a wasteful number, since it uses less digits than its factorization.

2120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26514 (or 26508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2120080 is about 1456.0494497097. The cubic root of 2120080 is about 128.4647816398.

Adding to 2120080 its reverse (800212), we get a palindrome (2920292).

The spelling of 2120080 in words is "two million, one hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26501 53002 106004 132505 212008 265010 424016 530020 1060040 2120080