Search a number
-
+
12420210 = 2351161617
BaseRepresentation
bin101111011000…
…010001110010
3212101000022210
4233120101302
511134421320
61122112550
7210366345
oct57302162
925330283
1012420210
117013540
1241ab756
13275b34a
14191445c
1511550e0
hexbd8472

12420210 has 64 divisors (see below), whose sum is σ = 33105024. Its totient is φ = 2956800.

The previous prime is 12420151. The next prime is 12420211. The reversal of 12420210 is 1202421.

12420210 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12420211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19822 + ... + 20438.

It is an arithmetic number, because the mean of its divisors is an integer number (517266).

Almost surely, 212420210 is an apocalyptic number.

12420210 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 12420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16552512).

12420210 is an abundant number, since it is smaller than the sum of its proper divisors (20684814).

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

12420210 is a wasteful number, since it uses less digits than its factorization.

12420210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12420210 is about 3524.2318311939. The cubic root of 12420210 is about 231.5845840933.

Adding to 12420210 its reverse (1202421), we get a palindrome (13622631).

The spelling of 12420210 in words is "twelve million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 617 671 915 1234 1342 1830 1851 2013 3085 3355 3702 4026 6170 6710 6787 9255 10065 13574 18510 20130 20361 33935 37637 40722 67870 75274 101805 112911 188185 203610 225822 376370 414007 564555 828014 1129110 1242021 2070035 2484042 4140070 6210105 12420210