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11132264 = 23111337263
BaseRepresentation
bin101010011101…
…110101101000
3202221120121002
4222131311220
510322213024
61034334132
7163423403
oct52356550
922846532
1011132264
116313920
12388a348
1323ca050
14169ad3a
15e9d6ae
hexa9dd68

11132264 has 64 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 4527360.

The previous prime is 11132257. The next prime is 11132267. The reversal of 11132264 is 46223111.

It is not an unprimeable number, because it can be changed into a prime (11132267) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42197 + ... + 42459.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 211132264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

11132264 is an abundant number, since it is smaller than the sum of its proper divisors (14148376).

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

11132264 is a wasteful number, since it uses less digits than its factorization.

11132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 11132264 is about 3336.5047579765. The cubic root of 11132264 is about 223.2858313368.

Adding to 11132264 its reverse (46223111), we get a palindrome (57355375).

The spelling of 11132264 in words is "eleven million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 143 148 263 286 296 407 481 526 572 814 962 1052 1144 1628 1924 2104 2893 3256 3419 3848 5291 5786 6838 9731 10582 11572 13676 19462 21164 23144 27352 37609 38924 42328 75218 77848 107041 126503 150436 214082 253006 300872 428164 506012 856328 1012024 1391533 2783066 5566132 11132264