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20421414 = 23213197443
BaseRepresentation
bin100110111100…
…1101100100110
31102102111220200
41031321230212
520211441124
62005411330
7335402436
oct115715446
942374820
1020421414
1110588a02
126a09b46
1343001a0
1429d82c6
151bd5bc9
hex1379b26

20421414 has 48 divisors (see below), whose sum is σ = 47999952. Its totient is φ = 6237504.

The previous prime is 20421413. The next prime is 20421419. The reversal of 20421414 is 41412402.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20421413) 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, 45877 + ... + 46319.

It is an arithmetic number, because the mean of its divisors is an integer number (999999).

Almost surely, 220421414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999976).

20421414 is an abundant number, since it is smaller than the sum of its proper divisors (27578538).

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

20421414 is a wasteful number, since it uses less digits than its factorization.

20421414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 658 counting only the distinct ones).

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

The square root of 20421414 is about 4519.0058641254. The cubic root of 20421414 is about 273.3350151922.

Adding to 20421414 its reverse (41412402), we get a palindrome (61833816).

The spelling of 20421414 in words is "twenty million, four hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 443 591 886 1182 1329 1773 2561 2658 3546 3987 5122 5759 7683 7974 11518 15366 17277 23049 34554 46098 51831 87271 103662 174542 261813 523626 785439 1134523 1570878 2269046 3403569 6807138 10210707 20421414