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13320312 = 2332359409
BaseRepresentation
bin110010110100…
…000001111000
3221001202000220
4302310001320
511402222222
61153300040
7221135505
oct62640170
927052026
1013320312
117578825
124564620
1329b4c55
141aaa4ac
151281b5c
hexcb4078

13320312 has 64 divisors (see below), whose sum is σ = 35424000. Its totient is φ = 4164864.

The previous prime is 13320301. The next prime is 13320313. The reversal of 13320312 is 21302331.

It is a junction number, because it is equal to n+sod(n) for n = 13320291 and 13320300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320313) 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, 32364 + ... + 32772.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 213320312 is an apocalyptic number.

13320312 is a gapful number since it is divisible by the number (12) 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 13320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712000).

13320312 is an abundant number, since it is smaller than the sum of its proper divisors (22103688).

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

13320312 is a wasteful number, since it uses less digits than its factorization.

13320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

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

The square root of 13320312 is about 3649.7002616653. The cubic root of 13320312 is about 237.0490026681.

Adding to 13320312 its reverse (21302331), we get a palindrome (34622643).

The spelling of 13320312 in words is "thirteen million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 409 472 552 708 818 1227 1357 1416 1636 2454 2714 3272 4071 4908 5428 8142 9407 9816 10856 16284 18814 24131 28221 32568 37628 48262 56442 72393 75256 96524 112884 144786 193048 225768 289572 555013 579144 1110026 1665039 2220052 3330078 4440104 6660156 13320312