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421105412 = 227213212713
BaseRepresentation
bin11001000110011…
…000111100000100
31002100101101000202
4121012120330010
51330300333122
6105441430032
713302223400
oct3106307404
91070341022
10421105412
111a6780802
12b903b318
1369320c00
143dcda100
1526e81e92
hex19198f04

421105412 has 54 divisors (see below), whose sum is σ = 928338138. Its totient is φ = 166578048.

The previous prime is 421105409. The next prime is 421105423. The reversal of 421105412 is 214501124.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31990336 + 389115076 = 5656^2 + 19726^2 .

It is a super-3 number, since 3×4211054123 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26768 + ... + 39480.

It is an arithmetic number, because the mean of its divisors is an integer number (17191447).

Almost surely, 2421105412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421105412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464169069).

421105412 is an abundant number, since it is smaller than the sum of its proper divisors (507232726).

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

421105412 is a wasteful number, since it uses less digits than its factorization.

421105412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12757 (or 12735 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 421105412 is about 20520.8531011749. The cubic root of 421105412 is about 749.5436702591.

Adding to 421105412 its reverse (214501124), we get a palindrome (635606536).

The spelling of 421105412 in words is "four hundred twenty-one million, one hundred five thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 12713 16562 25426 33124 50852 88991 165269 177982 330538 355964 622937 661076 1156883 1245874 2148497 2313766 2491748 4296994 4627532 8098181 8593988 15039479 16196362 30078958 32392724 60157916 105276353 210552706 421105412