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13323150 = 2335271139
BaseRepresentation
bin110010110100…
…101110001110
3221001212221000
4302310232032
511402320100
61153321130
7221150001
oct62645616
927055830
1013323150
11757a975
1245661a6
1329b6329
141aab538
151282900
hexcb4b8e

13323150 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3477600.

The previous prime is 13323127. The next prime is 13323169. The reversal of 13323150 is 5132331.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95781 + ... + 95919.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 213323150 is an apocalyptic number.

13323150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13323150 is an abundant number, since it is smaller than the sum of its proper divisors (24174450).

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

13323150 is a wasteful number, since it uses less digits than its factorization.

13323150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13323150 is about 3650.0890400098. The cubic root of 13323150 is about 237.0658365404.

Adding to 13323150 its reverse (5132331), we get a palindrome (18455481).

The spelling of 13323150 in words is "thirteen million, three hundred twenty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 71 75 90 135 139 142 150 213 225 270 278 355 417 426 450 639 675 695 710 834 1065 1251 1278 1350 1390 1775 1917 2085 2130 2502 3195 3475 3550 3753 3834 4170 5325 6255 6390 6950 7506 9585 9869 10425 10650 12510 15975 18765 19170 19738 20850 29607 31275 31950 37530 47925 49345 59214 62550 88821 93825 95850 98690 148035 177642 187650 246725 266463 296070 444105 493450 532926 740175 888210 1332315 1480350 2220525 2664630 4441050 6661575 13323150