Search a number
-
+
11214630 = 2325722543
BaseRepresentation
bin101010110001…
…111100100110
3210002202120200
4222301330212
510332332010
61040211330
7164215500
oct52617446
923082520
1011214630
11636a799
123909b46
13242869b
1416bcd70
15eb7cc0
hexab1f26

11214630 has 72 divisors (see below), whose sum is σ = 33931872. Its totient is φ = 2562336.

The previous prime is 11214629. The next prime is 11214649. The reversal of 11214630 is 3641211.

It is a happy number.

11214630 is a `hidden beast` number, since 11 + 21 + 4 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3139 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (471276).

Almost surely, 211214630 is an apocalyptic number.

11214630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16965936).

11214630 is an abundant number, since it is smaller than the sum of its proper divisors (22717242).

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

11214630 is a wasteful number, since it uses less digits than its factorization.

11214630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11214630 is about 3348.8251671295. The cubic root of 11214630 is about 223.8351651911.

Adding to 11214630 its reverse (3641211), we get a palindrome (14855841).

The spelling of 11214630 in words is "eleven million, two hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2543 4410 5086 7629 12715 15258 17801 22887 25430 35602 38145 45774 53403 76290 89005 106806 114435 124607 160209 178010 228870 249214 267015 320418 373821 534030 623035 747642 801045 1121463 1246070 1602090 1869105 2242926 3738210 5607315 11214630