Search a number
-
+
11132416 = 29171279
BaseRepresentation
bin101010011101…
…111000000000
3202221120210201
4222131320000
510322214131
61034334544
7163424011
oct52357000
922846721
1011132416
116313a49
12388a454
1323ca139
14169b008
15e9d761
hexa9de00

11132416 has 40 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 5234688.

The previous prime is 11132413. The next prime is 11132417. The reversal of 11132416 is 61423111.

It is a junction number, because it is equal to n+sod(n) for n = 11132393 and 11132402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8065 + ... + 9343.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 211132416 is an apocalyptic number.

11132416 is a gapful number since it is divisible by the number (16) 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 11132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

11132416 is an abundant number, since it is smaller than the sum of its proper divisors (12437504).

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

11132416 is an equidigital number, since it uses as much as digits as its factorization.

11132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1298 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 11132416 is about 3336.5275362268. The cubic root of 11132416 is about 223.2868475809.

Adding to 11132416 its reverse (61423111), we get a palindrome (72555527).

The spelling of 11132416 in words is "eleven million, one hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 1279 2176 2558 4352 5116 8704 10232 20464 21743 40928 43486 81856 86972 163712 173944 327424 347888 654848 695776 1391552 2783104 5566208 11132416