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13303320 = 2335591879
BaseRepresentation
bin110010101111…
…111000011000
3221000212201120
4302233320120
511401201240
61153045240
7221035122
oct62577030
927025646
1013303320
117566a88
124556820
1329aa2b4
141aa4212
15127bad0
hexcafe18

13303320 has 64 divisors (see below), whose sum is σ = 40608000. Its totient is φ = 3485568.

The previous prime is 13303289. The next prime is 13303321. The reversal of 13303320 is 2330331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13303320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6141 + ... + 8019.

It is an arithmetic number, because the mean of its divisors is an integer number (634500).

Almost surely, 213303320 is an apocalyptic number.

13303320 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 13303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304000).

13303320 is an abundant number, since it is smaller than the sum of its proper divisors (27304680).

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

13303320 is a wasteful number, since it uses less digits than its factorization.

13303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 13303320 is about 3647.3716564123. The cubic root of 13303320 is about 236.9481629227.

Adding to 13303320 its reverse (2330331), we get a palindrome (15633651).

The spelling of 13303320 in words is "thirteen million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 1879 2360 3540 3758 5637 7080 7516 9395 11274 15032 18790 22548 28185 37580 45096 56370 75160 110861 112740 221722 225480 332583 443444 554305 665166 886888 1108610 1330332 1662915 2217220 2660664 3325830 4434440 6651660 13303320