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BaseRepresentation
bin110010100010…
…011000000000
3220221001211200
4302202120000
511342414000
61151541200
7220414623
oct62423000
926831750
1013248000
117529467
12452a800
13298b06c
141a8bdba
15126a500
hexca2600

13248000 has 240 divisors, whose sum is σ = 49791456. Its totient is φ = 3379200.

The previous prime is 13247989. The next prime is 13248017. The reversal of 13248000 is 84231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575989 + ... + 576011.

Almost surely, 213248000 is an apocalyptic number.

13248000 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 13248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24895728).

13248000 is an abundant number, since it is smaller than the sum of its proper divisors (36543456).

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

13248000 is an equidigital number, since it uses as much as digits as its factorization.

13248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13248000 is about 3639.7802131447. The cubic root of 13248000 is about 236.6192679880.

The spelling of 13248000 in words is "thirteen million, two hundred forty-eight thousand".