Search a number
-
+
11282900 = 2252176637
BaseRepresentation
bin101011000010…
…100111010100
3210020020020012
4223002213110
510342023100
61041455352
7164621516
oct53024724
923206205
1011282900
116407012
123941558
132450795
1416d9bb6
15ecd135
hexac29d4

11282900 has 36 divisors (see below), whose sum is σ = 25928028. Its totient is φ = 4247040.

The previous prime is 11282893. The next prime is 11282923. The reversal of 11282900 is 928211.

11282900 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 6 ways, for example, as 1157776 + 10125124 = 1076^2 + 3182^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1619 + ... + 5018.

It is an arithmetic number, because the mean of its divisors is an integer number (720223).

Almost surely, 211282900 is an apocalyptic number.

11282900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11282900 is an abundant number, since it is smaller than the sum of its proper divisors (14645128).

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

11282900 is a wasteful number, since it uses less digits than its factorization.

11282900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 11282900 is about 3359.0028282215. The cubic root of 11282900 is about 224.2884517342.

The spelling of 11282900 in words is "eleven million, two hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 6637 13274 26548 33185 66370 112829 132740 165925 225658 331850 451316 564145 663700 1128290 2256580 2820725 5641450 11282900