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11311040 = 265132719
BaseRepresentation
bin101011001001…
…011111000000
3210021122211102
4223021133000
510343423130
61042233532
7165066536
oct53113700
923248742
1011311040
116426174
1239558a8
132460530
141706156
15ed6645
hexac97c0

11311040 has 56 divisors (see below), whose sum is σ = 29016960. Its totient is φ = 4174848.

The previous prime is 11311033. The next prime is 11311043. The reversal of 11311040 is 4011311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311043) 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 7 ways as a sum of consecutive naturals, for example, 2801 + ... + 5519.

It is an arithmetic number, because the mean of its divisors is an integer number (518160).

Almost surely, 211311040 is an apocalyptic number.

11311040 is a gapful number since it is divisible by the number (10) 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 11311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508480).

11311040 is an abundant number, since it is smaller than the sum of its proper divisors (17705920).

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

11311040 is a wasteful number, since it uses less digits than its factorization.

11311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11311040 is about 3363.1889628744. The cubic root of 11311040 is about 224.4747583653.

Adding to 11311040 its reverse (4011311), we get a palindrome (15322351).

The spelling of 11311040 in words is "eleven million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 2719 4160 5438 10876 13595 21752 27190 35347 43504 54380 70694 87008 108760 141388 174016 176735 217520 282776 353470 435040 565552 706940 870080 1131104 1413880 2262208 2827760 5655520 11311040