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20160100 = 22524492
BaseRepresentation
bin100110011100…
…1111001100100
31101221020110101
41030321321210
520130110400
62000033444
7333233542
oct114717144
941836411
1020160100
111041a644
126902884
13423b26c
14296ad92
151b8356a
hex1339e64

20160100 has 27 divisors (see below), whose sum is σ = 43845067. Its totient is φ = 8046080.

The previous prime is 20160067. The next prime is 20160139. The reversal of 20160100 is 106102.

The square root of 20160100 is 4490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 20142144 = 134^2 + 4488^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44676 + ... + 45124.

Almost surely, 220160100 is an apocalyptic number.

20160100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20160100 is the 4490-th square number.

It is an amenable number.

20160100 is an abundant number, since it is smaller than the sum of its proper divisors (23684967).

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

20160100 is an equidigital number, since it uses as much as digits as its factorization.

20160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The cubic root of 20160100 is about 272.1641346435.

Adding to 20160100 its reverse (106102), we get a palindrome (20266202).

The spelling of 20160100 in words is "twenty million, one hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 449 898 1796 2245 4490 8980 11225 22450 44900 201601 403202 806404 1008005 2016010 4032020 5040025 10080050 20160100