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13003320 = 2335119851
BaseRepresentation
bin110001100110…
…101000111000
3220110122012110
4301212220320
511312101240
61142412320
7215345361
oct61465070
926418173
1013003320
117381650
1244310a0
132903895
141a26b68
15121cc80
hexc66a38

13003320 has 64 divisors (see below), whose sum is σ = 42560640. Its totient is φ = 3152000.

The previous prime is 13003313. The next prime is 13003363. The reversal of 13003320 is 2330031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13003296 and 13003305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3606 + ... + 6245.

It is an arithmetic number, because the mean of its divisors is an integer number (665010).

Almost surely, 213003320 is an apocalyptic number.

13003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003320 is an abundant number, since it is smaller than the sum of its proper divisors (29557320).

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

13003320 is a wasteful number, since it uses less digits than its factorization.

13003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13003320 is about 3606.0116472358. The cubic root of 13003320 is about 235.1534835585.

Adding to 13003320 its reverse (2330031), we get a palindrome (15333351).

Subtracting from 13003320 its reverse (2330031), we obtain a square (10673289 = 32672).

The spelling of 13003320 in words is "thirteen million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9851 19702 29553 39404 49255 59106 78808 98510 108361 118212 147765 197020 216722 236424 295530 325083 394040 433444 541805 591060 650166 866888 1083610 1182120 1300332 1625415 2167220 2600664 3250830 4334440 6501660 13003320