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13330320 = 243567829
BaseRepresentation
bin110010110110…
…011110010000
3221002020202120
4302312132100
511403032240
61153414240
7221206623
oct62663620
927066676
1013330320
1175852a3
12456a380
1329b9683
141aaddba
151284ad0
hexcb6790

13330320 has 80 divisors (see below), whose sum is σ = 41991360. Its totient is φ = 3497472.

The previous prime is 13330307. The next prime is 13330349. The reversal of 13330320 is 2303331.

13330320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 13330320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15666 + ... + 16494.

It is an arithmetic number, because the mean of its divisors is an integer number (524892).

Almost surely, 213330320 is an apocalyptic number.

13330320 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 13330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995680).

13330320 is an abundant number, since it is smaller than the sum of its proper divisors (28661040).

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

13330320 is a wasteful number, since it uses less digits than its factorization.

13330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

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

The square root of 13330320 is about 3651.0710757256. The cubic root of 13330320 is about 237.1083554449.

Adding to 13330320 its reverse (2303331), we get a palindrome (15633651).

The spelling of 13330320 in words is "thirteen million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 829 1005 1072 1340 1608 1658 2010 2487 2680 3216 3316 4020 4145 4974 5360 6632 8040 8290 9948 12435 13264 16080 16580 19896 24870 33160 39792 49740 55543 66320 99480 111086 166629 198960 222172 277715 333258 444344 555430 666516 833145 888688 1110860 1333032 1666290 2221720 2666064 3332580 4443440 6665160 13330320