Search a number
-
+
11132220 = 223511101167
BaseRepresentation
bin101010011101…
…110100111100
3202221120112110
4222131310330
510322212340
61034334020
7163423311
oct52356474
922846473
1011132220
116313890
12388a310
1323ca018
14169ad08
15e9d680
hexa9dd3c

11132220 has 96 divisors (see below), whose sum is σ = 34546176. Its totient is φ = 2656000.

The previous prime is 11132213. The next prime is 11132221. The reversal of 11132220 is 2223111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11132196 and 11132205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66577 + ... + 66743.

It is an arithmetic number, because the mean of its divisors is an integer number (359856).

Almost surely, 211132220 is an apocalyptic number.

11132220 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 11132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273088).

11132220 is an abundant number, since it is smaller than the sum of its proper divisors (23413956).

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

11132220 is a wasteful number, since it uses less digits than its factorization.

11132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11132220 is about 3336.4981642435. The cubic root of 11132220 is about 223.2855371592.

Adding to 11132220 its reverse (2223111), we get a palindrome (13355331).

It can be divided in two parts, 1113 and 2220, that added together give a palindrome (3333).

The spelling of 11132220 in words is "eleven million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 167 202 220 303 330 334 404 501 505 606 660 668 835 1002 1010 1111 1212 1515 1670 1837 2004 2020 2222 2505 3030 3333 3340 3674 4444 5010 5511 5555 6060 6666 7348 9185 10020 11022 11110 13332 16665 16867 18370 22044 22220 27555 33330 33734 36740 50601 55110 66660 67468 84335 101202 110220 168670 185537 202404 253005 337340 371074 506010 556611 742148 927685 1012020 1113222 1855370 2226444 2783055 3710740 5566110 11132220