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13330200 = 23352131709
BaseRepresentation
bin110010110110…
…011100011000
3221002020121010
4302312130120
511403031300
61153413520
7221206362
oct62663430
927066533
1013330200
1175851a4
12456a2a0
1329b95c0
141aadd32
151284a50
hexcb6718

13330200 has 96 divisors (see below), whose sum is σ = 44528400. Its totient is φ = 3279360.

The previous prime is 13330199. The next prime is 13330231. The reversal of 13330200 is 203331.

It is a happy number.

13330200 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 Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6946 + ... + 8654.

Almost surely, 213330200 is an apocalyptic number.

13330200 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 13330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264200).

13330200 is an abundant number, since it is smaller than the sum of its proper divisors (31198200).

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

13330200 is a wasteful number, since it uses less digits than its factorization.

13330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1732 counting only the distinct ones).

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

The square root of 13330200 is about 3651.0546421548. The cubic root of 13330200 is about 237.1076439569.

Adding to 13330200 its reverse (203331), we get a palindrome (13533531).

It can be divided in two parts, 13330 and 200, that added together give a triangular number (13530 = T164).

The spelling of 13330200 in words is "thirteen million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1709 1950 2600 3418 3900 5127 6836 7800 8545 10254 13672 17090 20508 22217 25635 34180 41016 42725 44434 51270 66651 68360 85450 88868 102540 111085 128175 133302 170900 177736 205080 222170 256350 266604 333255 341800 444340 512700 533208 555425 666510 888680 1025400 1110850 1333020 1666275 2221700 2666040 3332550 4443400 6665100 13330200