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13323120 = 2435431291
BaseRepresentation
bin110010110100…
…101101110000
3221001212212220
4302310231300
511402314440
61153321040
7221146626
oct62645560
927055786
1013323120
11757a948
124566180
1329b6305
141aab516
1512828d0
hexcb4b70

13323120 has 80 divisors (see below), whose sum is σ = 42294912. Its totient is φ = 3467520.

The previous prime is 13323119. The next prime is 13323127. The reversal of 13323120 is 2132331.

13323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13323120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9675 + ... + 10965.

Almost surely, 213323120 is an apocalyptic number.

13323120 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 13323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21147456).

13323120 is an abundant number, since it is smaller than the sum of its proper divisors (28971792).

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

13323120 is a wasteful number, since it uses less digits than its factorization.

13323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13323120 is about 3650.0849305187. The cubic root of 13323120 is about 237.0656586050.

Adding to 13323120 its reverse (2132331), we get a palindrome (15455451).

The spelling of 13323120 in words is "thirteen million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1291 1720 2064 2580 2582 3440 3873 5160 5164 6455 7746 10320 10328 12910 15492 19365 20656 25820 30984 38730 51640 55513 61968 77460 103280 111026 154920 166539 222052 277565 309840 333078 444104 555130 666156 832695 888208 1110260 1332312 1665390 2220520 2664624 3330780 4441040 6661560 13323120