Search a number
-
+
11192820 = 22351011847
BaseRepresentation
bin101010101100…
…100111110100
3210001122122220
4222230213310
510331132240
61035522340
7164065062
oct52544764
923048586
1011192820
116355371
1238b93b0
13241b792
1416b5032
15eb15d0
hexaac9f4

11192820 has 48 divisors (see below), whose sum is σ = 31667328. Its totient is φ = 2953600.

The previous prime is 11192809. The next prime is 11192827. The reversal of 11192820 is 2829111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11192827) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5137 + ... + 6983.

It is an arithmetic number, because the mean of its divisors is an integer number (659736).

Almost surely, 211192820 is an apocalyptic number.

11192820 is a gapful number since it is divisible by the number (10) 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 11192820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664).

11192820 is an abundant number, since it is smaller than the sum of its proper divisors (20474508).

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

11192820 is a wasteful number, since it uses less digits than its factorization.

11192820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11192820 is about 3345.5672164821. The cubic root of 11192820 is about 223.6899675614.

The spelling of 11192820 in words is "eleven million, one hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 1847 2020 3030 3694 5541 6060 7388 9235 11082 18470 22164 27705 36940 55410 110820 186547 373094 559641 746188 932735 1119282 1865470 2238564 2798205 3730940 5596410 11192820