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13230000 = 24335472
BaseRepresentation
bin110010011101…
…111110110000
3220220011011000
4302131332300
511341330000
61151322000
7220311300
oct62357660
926804130
1013230000
117516993
124520300
132982b04
141a85600
151265000
hexc9dfb0

13230000 has 300 divisors, whose sum is σ = 55201080. Its totient is φ = 3024000.

The previous prime is 13229999. The next prime is 13230001. The reversal of 13230000 is 3231.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (13229999) and next prime (13230001).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is not an unprimeable number, because it can be changed into a prime (13230001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1889997 + ... + 1890003.

Almost surely, 213230000 is an apocalyptic number.

13230000 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 13230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600540).

13230000 is an abundant number, since it is smaller than the sum of its proper divisors (41971080).

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

13230000 is an equidigital number, since it uses as much as digits as its factorization.

13230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13230000 is about 3637.3066958946. The cubic root of 13230000 is about 236.5120548932.

Adding to 13230000 its reverse (3231), we get a palindrome (13233231).

The spelling of 13230000 in words is "thirteen million, two hundred thirty thousand".