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11001320 = 2351122273
BaseRepresentation
bin101001111101…
…110111101000
3202200220222022
4221331313220
510304020240
61031444012
7162336551
oct51756750
922626868
1011001320
116234500
123826608
132382575
141665328
15e749b5
hexa7dde8

11001320 has 48 divisors (see below), whose sum is σ = 27219780. Its totient is φ = 3998720.

The previous prime is 11001313. The next prime is 11001371. The reversal of 11001320 is 2310011.

11001320 = T75 + T76 + ... + T404.

It can be written as a sum of positive squares in 2 ways, for example, as 10745284 + 256036 = 3278^2 + 506^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11001298 and 11001307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3704 + ... + 5976.

Almost surely, 211001320 is an apocalyptic number.

11001320 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 11001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609890).

11001320 is an abundant number, since it is smaller than the sum of its proper divisors (16218460).

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

11001320 is a wasteful number, since it uses less digits than its factorization.

11001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11001320 is about 3316.8237818733. The cubic root of 11001320 is about 222.4069046215.

Adding to 11001320 its reverse (2310011), we get a palindrome (13311331).

The spelling of 11001320 in words is "eleven million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2273 2420 4546 4840 9092 11365 18184 22730 25003 45460 50006 90920 100012 125015 200024 250030 275033 500060 550066 1000120 1100132 1375165 2200264 2750330 5500660 11001320