Search a number
-
+
11211860 = 22511241113
BaseRepresentation
bin101010110001…
…010001010100
3210002121210002
4222301101110
510332234420
61040150432
7164204432
oct52612124
923077702
1011211860
116368700
123908418
13242734a
1416bbd52
15eb7075
hexab1454

11211860 has 72 divisors (see below), whose sum is σ = 26745768. Its totient is φ = 3942400.

The previous prime is 11211839. The next prime is 11211869. The reversal of 11211860 is 6811211.

It can be written as a sum of positive squares in 4 ways, for example, as 894916 + 10316944 = 946^2 + 3212^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99164 + ... + 99276.

It is an arithmetic number, because the mean of its divisors is an integer number (371469).

Almost surely, 211211860 is an apocalyptic number.

11211860 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 11211860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372884).

11211860 is an abundant number, since it is smaller than the sum of its proper divisors (15533908).

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

11211860 is a wasteful number, since it uses less digits than its factorization.

11211860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 11211860 is about 3348.4115637120. The cubic root of 11211860 is about 223.8167346689.

The spelling of 11211860 in words is "eleven million, two hundred eleven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 113 121 164 205 220 226 242 410 451 452 484 565 605 820 902 1130 1210 1243 1804 2255 2260 2420 2486 4510 4633 4961 4972 6215 9020 9266 9922 12430 13673 18532 19844 23165 24805 24860 27346 46330 49610 50963 54692 68365 92660 99220 101926 136730 203852 254815 273460 509630 560593 1019260 1121186 2242372 2802965 5605930 11211860