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13299000 = 23353111331
BaseRepresentation
bin110010101110…
…110100111000
3221000122210120
4302232310320
511401032000
61153013240
7221016411
oct62566470
927018716
1013299000
117563810
124554220
1329a8340
141aa2808
15127a6a0
hexcaed38

13299000 has 256 divisors, whose sum is σ = 50319360. Its totient is φ = 2880000.

The previous prime is 13298963. The next prime is 13299017. The reversal of 13299000 is 99231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428985 + ... + 429015.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 213299000 is an apocalyptic number.

13299000 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 13299000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

13299000 is an abundant number, since it is smaller than the sum of its proper divisors (37020360).

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

13299000 is a wasteful number, since it uses less digits than its factorization.

13299000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 13299000 is about 3646.7794010606. The cubic root of 13299000 is about 236.9225120105.

The spelling of 13299000 in words is "thirteen million, two hundred ninety-nine thousand".