Search a number
-
+
11268416 = 261710357
BaseRepresentation
bin101010111111…
…000101000000
3210012111100202
4222333011000
510341042131
61041304332
7164531345
oct52770500
923174322
1011268416
1163a7145
1239350a8
132447003
1416d47cc
15ec8bcb
hexabf140

11268416 has 28 divisors (see below), whose sum is σ = 23678388. Its totient is φ = 5302272.

The previous prime is 11268377. The next prime is 11268419. The reversal of 11268416 is 61486211.

It can be written as a sum of positive squares in 2 ways, for example, as 7268416 + 4000000 = 2696^2 + 2000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4091 + ... + 6266.

Almost surely, 211268416 is an apocalyptic number.

11268416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11268416 is an abundant number, since it is smaller than the sum of its proper divisors (12409972).

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

11268416 is a wasteful number, since it uses less digits than its factorization.

11268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386 (or 10376 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 11268416 is about 3356.8461388631. The cubic root of 11268416 is about 224.1924366726.

The spelling of 11268416 in words is "eleven million, two hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 10357 20714 41428 82856 165712 176069 331424 352138 662848 704276 1408552 2817104 5634208 11268416