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13200000 = 2735511
BaseRepresentation
bin110010010110…
…101010000000
3220211121222220
4302112222000
511334400000
61150531040
7220124652
oct62265200
926747886
1013200000
1174a63a0
124506a80
132972268
141a786d2
15125b1a0
hexc96a80

13200000 has 192 divisors, whose sum is σ = 47809440. Its totient is φ = 3200000.

The previous prime is 13199983. The next prime is 13200001. The reversal of 13200000 is 231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199995 + ... + 1200005.

Almost surely, 213200000 is an apocalyptic number.

13200000 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 13200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904720).

13200000 is an abundant number, since it is smaller than the sum of its proper divisors (34609440).

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

13200000 is an frugal number, since it uses more digits than its factorization.

13200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 13200000 is about 3633.1804249170. The cubic root of 13200000 is about 236.3331500935. Note that the first 3 decimals are identical.

Adding to 13200000 its reverse (231), we get a palindrome (13200231).

The spelling of 13200000 in words is "thirteen million, two hundred thousand".