Search a number
-
+
2850100 = 2252112591
BaseRepresentation
bin1010110111110100110100
312100210121021
422313310310
51212200400
6141030524
733140221
oct12676464
95323537
102850100
111677360
12b55444
1378a366
14542948
153b471a
hex2b7d34

2850100 has 36 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 1036000.

The previous prime is 2850097. The next prime is 2850157. The reversal of 2850100 is 10582.

2850100 = T187 + T188 + ... + T286.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 196 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

22850100 is an apocalyptic number.

2850100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2850100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2850100 is an abundant number, since it is smaller than the sum of its proper divisors (3899468).

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

2850100 is a wasteful number, since it uses less digits than its factorization.

2850100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2850100 is about 1688.2239187975. The cubic root of 2850100 is about 141.7816521279.

Adding to 2850100 its reverse (10582), we get a palindrome (2860682).

The spelling of 2850100 in words is "two million, eight hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2591 5182 10364 12955 25910 28501 51820 57002 64775 114004 129550 142505 259100 285010 570020 712525 1425050 2850100