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11531424 = 2531131063
BaseRepresentation
bin101011111111…
…010010100000
3210200212010210
4223333102200
510423001144
61051054120
7200005212
oct53772240
923625123
1011531424
116566803
123a41340
132509938
1417625b2
15102bab9
hexaff4a0

11531424 has 48 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 3806208.

The previous prime is 11531419. The next prime is 11531431. The reversal of 11531424 is 42413511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11531424.

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 7 ways as a sum of consecutive naturals, for example, 10317 + ... + 11379.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 211531424 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 11531424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

11531424 is an abundant number, since it is smaller than the sum of its proper divisors (19035168).

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

11531424 is a wasteful number, since it uses less digits than its factorization.

11531424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1181 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 11531424 is about 3395.7950468189. The cubic root of 11531424 is about 225.9232777922.

Adding to 11531424 its reverse (42413511), we get a palindrome (53944935).

The spelling of 11531424 in words is "eleven million, five hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1063 1356 1808 2126 2712 3189 3616 4252 5424 6378 8504 10848 12756 17008 25512 34016 51024 102048 120119 240238 360357 480476 720714 960952 1441428 1921904 2882856 3843808 5765712 11531424