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12420690 = 2352347383
BaseRepresentation
bin101111011000…
…011001010010
3212101000222120
4233120121102
511134430230
61122115110
7210400632
oct57303122
925330876
1012420690
117013937
1241aba96
13275b629
1419146c2
151155310
hexbd8652

12420690 has 64 divisors (see below), whose sum is σ = 31850496. Its totient is φ = 3092672.

The previous prime is 12420689. The next prime is 12420691. The reversal of 12420690 is 9602421.

12420690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12420689) and next prime (12420691).

It is a super-2 number, since 2×124206902 = 308547080152200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12420690.

It is not an unprimeable number, because it can be changed into a prime (12420691) 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, 32239 + ... + 32621.

It is an arithmetic number, because the mean of its divisors is an integer number (497664).

Almost surely, 212420690 is an apocalyptic number.

12420690 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 12420690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925248).

12420690 is an abundant number, since it is smaller than the sum of its proper divisors (19429806).

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

12420690 is a wasteful number, since it uses less digits than its factorization.

12420690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12420690 is about 3524.2999304826. The cubic root of 12420690 is about 231.5875673807.

The spelling of 12420690 in words is "twelve million, four hundred twenty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 383 470 690 705 766 1081 1149 1410 1915 2162 2298 3243 3830 5405 5745 6486 8809 10810 11490 16215 17618 18001 26427 32430 36002 44045 52854 54003 88090 90005 108006 132135 180010 264270 270015 414023 540030 828046 1242069 2070115 2484138 4140230 6210345 12420690