Search a number
-
+
13330000 = 24543143
BaseRepresentation
bin110010110110…
…011001010000
3221002020022201
4302312121100
511403030000
61153412544
7221205655
oct62663120
927066281
1013330000
117585032
12456a154
1329b9498
141aadc2c
15128496a
hexcb6650

13330000 has 100 divisors (see below), whose sum is σ = 34089088. Its totient is φ = 5040000.

The previous prime is 13329997. The next prime is 13330007. The reversal of 13330000 is 3331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 309979 + ... + 310021.

Almost surely, 213330000 is an apocalyptic number.

13330000 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 13330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044544).

13330000 is an abundant number, since it is smaller than the sum of its proper divisors (20759088).

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

13330000 is an equidigital number, since it uses as much as digits as its factorization.

13330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 13330000 is about 3651.0272527057. The cubic root of 13330000 is about 237.1064581340.

Adding to 13330000 its reverse (3331), we get a palindrome (13333331).

The spelling of 13330000 in words is "thirteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 43 50 62 80 86 100 124 125 155 172 200 215 248 250 310 344 400 430 496 500 620 625 688 775 860 1000 1075 1240 1250 1333 1550 1720 2000 2150 2480 2500 2666 3100 3440 3875 4300 5000 5332 5375 6200 6665 7750 8600 10000 10664 10750 12400 13330 15500 17200 19375 21328 21500 26660 26875 31000 33325 38750 43000 53320 53750 62000 66650 77500 86000 106640 107500 133300 155000 166625 215000 266600 310000 333250 430000 533200 666500 833125 1333000 1666250 2666000 3332500 6665000 13330000