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20120080 = 245251501
BaseRepresentation
bin100110011000…
…0001000010000
31101212012120011
41030300020100
520122320310
61555124304
7333006061
oct114601020
941765504
1020120080
11103a2572
1268a3694
134225c96
14295a568
151b7678a
hex1330210

20120080 has 20 divisors (see below), whose sum is σ = 46779372. Its totient is φ = 8048000.

The previous prime is 20120071. The next prime is 20120081. The reversal of 20120080 is 8002102.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 5740816 = 3792^2 + 2396^2 .

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 20120080.

It is not an unprimeable number, because it can be changed into a prime (20120081) 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, 125671 + ... + 125830.

Almost surely, 220120080 is an apocalyptic number.

20120080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120080 is an abundant number, since it is smaller than the sum of its proper divisors (26659292).

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

20120080 is a wasteful number, since it uses less digits than its factorization.

20120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251514 (or 251508 counting only the distinct ones).

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

The square root of 20120080 is about 4485.5412159515. The cubic root of 20120080 is about 271.9839235020.

Adding to 20120080 its reverse (8002102), we get a palindrome (28122182).

The spelling of 20120080 in words is "twenty million, one hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251501 503002 1006004 1257505 2012008 2515010 4024016 5030020 10060040 20120080