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11281320 = 2332531337
BaseRepresentation
bin101011000010…
…001110101000
3210020011001200
4223002032220
510342000240
61041444200
7164614101
oct53021650
923204050
1011281320
116405906
123940660
13244cb4b
1416d93a8
15ecc930
hexac23a8

11281320 has 48 divisors (see below), whose sum is σ = 36665460. Its totient is φ = 3008256.

The previous prime is 11281313. The next prime is 11281321. The reversal of 11281320 is 2318211.

It can be written as a sum of positive squares in 2 ways, for example, as 10771524 + 509796 = 3282^2 + 714^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11281293 and 11281302.

It is not an unprimeable number, because it can be changed into a prime (11281321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15309 + ... + 16028.

Almost surely, 211281320 is an apocalyptic number.

11281320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11281320 is an abundant number, since it is smaller than the sum of its proper divisors (25384140).

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

11281320 is a wasteful number, since it uses less digits than its factorization.

11281320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31354 (or 31347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11281320 is about 3358.7676311409. The cubic root of 11281320 is about 224.2779818403.

Adding to 11281320 its reverse (2318211), we get a palindrome (13599531).

The spelling of 11281320 in words is "eleven million, two hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 31337 62674 94011 125348 156685 188022 250696 282033 313370 376044 470055 564066 626740 752088 940110 1128132 1253480 1410165 1880220 2256264 2820330 3760440 5640660 11281320