Search a number
-
+
11189820 = 2235283659
BaseRepresentation
bin101010101011…
…111000111100
3210001111112210
4222223320330
510331033240
61035500420
7164053245
oct52537074
923044483
1011189820
116353094
1238b7710
13241a2c5
1416b3ccc
15eb0780
hexaabe3c

11189820 has 48 divisors (see below), whose sum is σ = 31489920. Its totient is φ = 2968896.

The previous prime is 11189819. The next prime is 11189821. The reversal of 11189820 is 2898111.

It is an interprime number because it is at equal distance from previous prime (11189819) and next prime (11189821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11189821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16651 + ... + 17309.

It is an arithmetic number, because the mean of its divisors is an integer number (656040).

Almost surely, 211189820 is an apocalyptic number.

11189820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11189820 is an abundant number, since it is smaller than the sum of its proper divisors (20300100).

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

11189820 is a wasteful number, since it uses less digits than its factorization.

11189820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 11189820 is about 3345.1188319699. The cubic root of 11189820 is about 223.6699806452.

The spelling of 11189820 in words is "eleven million, one hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 566 659 849 1132 1318 1415 1698 1977 2636 2830 3295 3396 3954 4245 5660 6590 7908 8490 9885 13180 16980 19770 39540 186497 372994 559491 745988 932485 1118982 1864970 2237964 2797455 3729940 5594910 11189820