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12420414 = 23219231579
BaseRepresentation
bin101111011000…
…010100111110
3212101000121100
4233120110332
511134423124
61122113530
7210400056
oct57302476
925330540
1012420414
117013706
1241ab8a6
13275b476
141914566
1511551c9
hexbd853e

12420414 has 48 divisors (see below), whose sum is σ = 29577600. Its totient is φ = 3749328.

The previous prime is 12420413. The next prime is 12420451. The reversal of 12420414 is 41402421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7077 + ... + 8655.

It is an arithmetic number, because the mean of its divisors is an integer number (616200).

Almost surely, 212420414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788800).

12420414 is an abundant number, since it is smaller than the sum of its proper divisors (17157186).

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

12420414 is a wasteful number, since it uses less digits than its factorization.

12420414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12420414 is about 3524.2607735524. The cubic root of 12420414 is about 231.5858519998.

Adding to 12420414 its reverse (41402421), we get a palindrome (53822835).

The spelling of 12420414 in words is "twelve million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 1579 2622 3158 3933 4737 7866 9474 14211 28422 30001 36317 60002 72634 90003 108951 180006 217902 270009 326853 540018 653706 690023 1380046 2070069 4140138 6210207 12420414