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12313392 = 2437132819
BaseRepresentation
bin101110111110…
…001100110000
3212011120210120
4232332030300
511123012032
61115530240
7206443050
oct56761460
925146716
1012313392
116a50263
124159980
132721840
1418c7560
15113362c
hexbbe330

12313392 has 80 divisors (see below), whose sum is σ = 39164160. Its totient is φ = 3246336.

The previous prime is 12313381. The next prime is 12313393. The reversal of 12313392 is 29331321.

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

It is not an unprimeable number, because it can be changed into a prime (12313393) 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, 2959 + ... + 5777.

It is an arithmetic number, because the mean of its divisors is an integer number (489552).

Almost surely, 212313392 is an apocalyptic number.

12313392 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 12313392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582080).

12313392 is an abundant number, since it is smaller than the sum of its proper divisors (26850768).

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

12313392 is a wasteful number, since it uses less digits than its factorization.

12313392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2844 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 12313392 is about 3509.0443143397. The cubic root of 12313392 is about 230.9187698124.

The spelling of 12313392 in words is "twelve million, three hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2819 4368 5638 8457 11276 16914 19733 22552 33828 36647 39466 45104 59199 67656 73294 78932 109941 118398 135312 146588 157864 219882 236796 256529 293176 315728 439764 473592 513058 586352 769587 879528 947184 1026116 1539174 1759056 2052232 3078348 4104464 6156696 12313392