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5668100 = 225256681
BaseRepresentation
bin10101100111110100000100
3101122222011122
4111213310010
52422334400
6321253112
766115034
oct25476404
911588148
105668100
113221589
121a94198
131235c09
14a778c4
1576e685
hex567d04

5668100 has 18 divisors (see below), whose sum is σ = 12299994. Its totient is φ = 2267200.

The previous prime is 5668073. The next prime is 5668129. The reversal of 5668100 is 18665.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 5317636 = 592^2 + 2306^2 .

It is a super-2 number, since 2×56681002 = 64254715220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5668100.

It is an unprimeable number.

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, 28241 + ... + 28440.

It is an arithmetic number, because the mean of its divisors is an integer number (683333).

Almost surely, 25668100 is an apocalyptic number.

5668100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5668100 is an abundant number, since it is smaller than the sum of its proper divisors (6631894).

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

5668100 is a wasteful number, since it uses less digits than its factorization.

5668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56695 (or 56688 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5668100 is about 2380.7771840305. Note that the first 3 decimals coincide. The cubic root of 5668100 is about 178.2977384534.

The spelling of 5668100 in words is "five million, six hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 56681 113362 226724 283405 566810 1133620 1417025 2834050 5668100