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11331040 = 255767151
BaseRepresentation
bin101011001110…
…010111100000
3210022200021011
4223032113200
510400043130
61042510304
7165212050
oct53162740
923280234
1011331040
11643a1a6
123965394
132469676
14170d560
15edc52a
hexace5e0

11331040 has 96 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 3801600.

The previous prime is 11331031. The next prime is 11331043. The reversal of 11331040 is 4013311.

11331040 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11331040 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11331040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74965 + ... + 75115.

It is an arithmetic number, because the mean of its divisors is an integer number (325584).

Almost surely, 211331040 is an apocalyptic number.

11331040 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 11331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

11331040 is an abundant number, since it is smaller than the sum of its proper divisors (19925024).

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

11331040 is a wasteful number, since it uses less digits than its factorization.

11331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11331040 is about 3366.1610181333. The cubic root of 11331040 is about 224.6069846881.

Adding to 11331040 its reverse (4013311), we get a palindrome (15344351).

The spelling of 11331040 in words is "eleven million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 151 160 224 268 280 302 335 469 536 560 604 670 755 938 1057 1072 1120 1208 1340 1510 1876 2114 2144 2345 2416 2680 3020 3752 4228 4690 4832 5285 5360 6040 7504 8456 9380 10117 10570 10720 12080 15008 16912 18760 20234 21140 24160 33824 37520 40468 42280 50585 70819 75040 80936 84560 101170 141638 161872 169120 202340 283276 323744 354095 404680 566552 708190 809360 1133104 1416380 1618720 2266208 2832760 5665520 11331040