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13323000 = 233534441
BaseRepresentation
bin110010110100…
…101011111000
3221001212201110
4302310223320
511402314000
61153320320
7221146365
oct62645370
927055643
1013323000
11757a849
1245660a0
1329b6242
141aab46c
151282850
hexcb4af8

13323000 has 64 divisors (see below), whose sum is σ = 41577120. Its totient is φ = 3552000.

The previous prime is 13322993. The next prime is 13323001. The reversal of 13323000 is 32331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 780 + ... + 5220.

Almost surely, 213323000 is an apocalyptic number.

13323000 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 13323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788560).

13323000 is an abundant number, since it is smaller than the sum of its proper divisors (28254120).

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

13323000 is a wasteful number, since it uses less digits than its factorization.

13323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13323000 is about 3650.0684925081. The cubic root of 13323000 is about 237.0649468607.

Adding to 13323000 its reverse (32331), we get a palindrome (13355331).

The spelling of 13323000 in words is "thirteen million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4441 8882 13323 17764 22205 26646 35528 44410 53292 66615 88820 106584 111025 133230 177640 222050 266460 333075 444100 532920 555125 666150 888200 1110250 1332300 1665375 2220500 2664600 3330750 4441000 6661500 13323000