Search a number
-
+
11160820 = 2251197523
BaseRepresentation
bin101010100100…
…110011110100
3210000000202201
4222210303310
510324121240
61035114244
7163602556
oct52446364
923000681
1011160820
116333320
1238a2984
13240a048
1416a74d6
15ea6d9a
hexaa4cf4

11160820 has 48 divisors (see below), whose sum is σ = 25881408. Its totient is φ = 4008960.

The previous prime is 11160811. The next prime is 11160839. The reversal of 11160820 is 2806111.

11160820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21079 + ... + 21601.

It is an arithmetic number, because the mean of its divisors is an integer number (539196).

Almost surely, 211160820 is an apocalyptic number.

11160820 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 11160820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940704).

11160820 is an abundant number, since it is smaller than the sum of its proper divisors (14720588).

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

11160820 is a wasteful number, since it uses less digits than its factorization.

11160820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11160820 is about 3340.7813457334. The cubic root of 11160820 is about 223.4765893598.

Adding to 11160820 its reverse (2806111), we get a palindrome (13966931).

It can be divided in two parts, 111608 and 20, that added together give a triangular number (111628 = T472).

The spelling of 11160820 in words is "eleven million, one hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 523 970 1046 1067 1940 2092 2134 2615 4268 5230 5335 5753 10460 10670 11506 21340 23012 28765 50731 57530 101462 115060 202924 253655 507310 558041 1014620 1116082 2232164 2790205 5580410 11160820