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13200066 = 23211163409
BaseRepresentation
bin110010010110…
…101011000010
3220211122002100
4302112223002
511334400231
61150531230
7220125105
oct62265302
926748070
1013200066
1174a6450
124506b16
1329722b9
141a7873c
15125b1e6
hexc96ac2

13200066 has 48 divisors (see below), whose sum is σ = 31468320. Its totient is φ = 3965760.

The previous prime is 13200001. The next prime is 13200101. The reversal of 13200066 is 66000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32070 + ... + 32478.

It is an arithmetic number, because the mean of its divisors is an integer number (655590).

Almost surely, 213200066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734160).

13200066 is an abundant number, since it is smaller than the sum of its proper divisors (18268254).

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

13200066 is a wasteful number, since it uses less digits than its factorization.

13200066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13200066 is about 3633.1895078567. The cubic root of 13200066 is about 236.3335439814. Note that the first 3 decimals are identical.

13200066 divided by its sum of digits (18) gives a palindrome (733337).

Adding to 13200066 its reverse (66000231), we get a palindrome (79200297).

The spelling of 13200066 in words is "thirteen million, two hundred thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 409 489 818 978 1227 1467 1793 2454 2934 3586 3681 4499 5379 7362 8998 10758 13497 16137 26994 32274 40491 66667 80982 133334 200001 400002 600003 733337 1200006 1466674 2200011 4400022 6600033 13200066