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2028078100 = 225220280781
BaseRepresentation
bin111100011100010…
…0000010000010100
312020100012001010201
41320320200100110
513123141444400
6533124430244
7101154244066
oct17070402024
95210161121
102028078100
11950885104
12487248384
13264228619
141534c7736
15bd0ac06a
hex78e20414

2028078100 has 18 divisors (see below), whose sum is σ = 4400929694. Its totient is φ = 811231200.

The previous prime is 2028078071. The next prime is 2028078103. The reversal of 2028078100 is 18708202.

It can be written as a sum of positive squares in 3 ways, for example, as 114190596 + 1913887504 = 10686^2 + 43748^2 .

It is a super-2 number, since 2×20280781002 = 8226201559399220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028078103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10140291 + ... + 10140490.

Almost surely, 22028078100 is an apocalyptic number.

2028078100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028078100 is an abundant number, since it is smaller than the sum of its proper divisors (2372851594).

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

2028078100 is a wasteful number, since it uses less digits than its factorization.

2028078100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20280795 (or 20280788 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2028078100 is about 45034.1881241352. The cubic root of 2028078100 is about 1265.7897030788.

The spelling of 2028078100 in words is "two billion, twenty-eight million, seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20280781 40561562 81123124 101403905 202807810 405615620 507019525 1014039050 2028078100