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13330020 = 223511191063
BaseRepresentation
bin110010110110…
…011001100100
3221002020100110
4302312121210
511403030040
61153413020
7221206014
oct62663144
927066313
1013330020
117585050
12456a170
1329b94b2
141aadc44
151284980
hexcb6664

13330020 has 96 divisors (see below), whose sum is σ = 42900480. Its totient is φ = 3058560.

The previous prime is 13330007. The next prime is 13330061. The reversal of 13330020 is 2003331.

It is a happy number.

13330020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13329978 and 13330005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12009 + ... + 13071.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 213330020 is an apocalyptic number.

13330020 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 13330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

13330020 is an abundant number, since it is smaller than the sum of its proper divisors (29570460).

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

13330020 is a wasteful number, since it uses less digits than its factorization.

13330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

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

The square root of 13330020 is about 3651.0299916599. The cubic root of 13330020 is about 237.1065767169.

Adding to 13330020 its reverse (2003331), we get a palindrome (15333351).

It can be divided in two parts, 13 and 330020, that added together give a palindrome (330033).

The spelling of 13330020 in words is "thirteen million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1063 1140 1254 2090 2126 2508 3135 3189 4180 4252 5315 6270 6378 10630 11693 12540 12756 15945 20197 21260 23386 31890 35079 40394 46772 58465 60591 63780 70158 80788 100985 116930 121182 140316 175395 201970 222167 233860 242364 302955 350790 403940 444334 605910 666501 701580 888668 1110835 1211820 1333002 2221670 2666004 3332505 4443340 6665010 13330020