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12315330 = 2325193709
BaseRepresentation
bin101110111110…
…101011000010
3212011200110100
4232332223002
511123042310
61115543230
7206451516
oct56765302
925150410
1012315330
116a51765
12415ab16
1327226a1
1418c8146
151133ec0
hexbbeac2

12315330 has 48 divisors (see below), whose sum is σ = 32231160. Its totient is φ = 3262464.

The previous prime is 12315323. The next prime is 12315349. The reversal of 12315330 is 3351321.

It can be written as a sum of positive squares in 4 ways, for example, as 5919489 + 6395841 = 2433^2 + 2529^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17016 + ... + 17724.

Almost surely, 212315330 is an apocalyptic number.

12315330 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 12315330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115580).

12315330 is an abundant number, since it is smaller than the sum of its proper divisors (19915830).

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

12315330 is a wasteful number, since it uses less digits than its factorization.

12315330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 912 counting only the distinct ones).

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

The square root of 12315330 is about 3509.3204470381. The cubic root of 12315330 is about 230.9308839155.

Adding to 12315330 its reverse (3351321), we get a palindrome (15666651).

It can be divided in two parts, 1231 and 5330, that added together give a 8-th power (6561 = 38).

The spelling of 12315330 in words is "twelve million, three hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 709 965 1158 1418 1737 1930 2127 2895 3474 3545 4254 5790 6381 7090 8685 10635 12762 17370 21270 31905 63810 136837 273674 410511 684185 821022 1231533 1368370 2052555 2463066 4105110 6157665 12315330