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12402312 = 23313127313
BaseRepresentation
bin101111010011…
…111010001000
3212100002202220
4233103322020
511133333222
61121454040
7210263226
oct57237210
925302686
1012402312
11700104a
1241a1320
132753160
14190bb16
15114eb5c
hexbd3e88

12402312 has 64 divisors (see below), whose sum is σ = 33761280. Its totient is φ = 3773952.

The previous prime is 12402311. The next prime is 12402349. The reversal of 12402312 is 21320421.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 12402291 and 12402300.

It is not an unprimeable number, because it can be changed into a prime (12402311) 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, 39468 + ... + 39780.

It is an arithmetic number, because the mean of its divisors is an integer number (527520).

Almost surely, 212402312 is an apocalyptic number.

12402312 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 12402312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880640).

12402312 is an abundant number, since it is smaller than the sum of its proper divisors (21358968).

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

12402312 is a wasteful number, since it uses less digits than its factorization.

12402312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12402312 is about 3521.6916389712. The cubic root of 12402312 is about 231.4732898540.

Adding to 12402312 its reverse (21320421), we get a palindrome (33722733).

The spelling of 12402312 in words is "twelve million, four hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 313 381 508 626 762 939 1016 1252 1524 1651 1878 2504 3048 3302 3756 4069 4953 6604 7512 8138 9906 12207 13208 16276 19812 24414 32552 39624 39751 48828 79502 97656 119253 159004 238506 318008 477012 516763 954024 1033526 1550289 2067052 3100578 4134104 6201156 12402312