Search a number
-
+
21404412 = 223519261
BaseRepresentation
bin101000110100…
…1101011111100
31111021110100000
41101221223330
520434420122
62042434300
7346635351
oct121515374
944243300
1021404412
111109a4a7
127202990
134585743
142bb2628
151d2c0ac
hex1469afc

21404412 has 108 divisors (see below), whose sum is σ = 60188856. Its totient is φ = 6648480.

The previous prime is 21404399. The next prime is 21404413. The reversal of 21404412 is 21440412.

It is a tau number, because it is divible by the number of its divisors (108).

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 (21404413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350862 + ... + 350922.

Almost surely, 221404412 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 21404412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30094428).

21404412 is an abundant number, since it is smaller than the sum of its proper divisors (38784444).

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

21404412 is a wasteful number, since it uses less digits than its factorization.

21404412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

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

The square root of 21404412 is about 4626.4902463963. The cubic root of 21404412 is about 277.6521882519.

Adding to 21404412 its reverse (21440412), we get a palindrome (42844824).

The spelling of 21404412 in words is "twenty-one million, four hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 81 108 114 122 162 171 183 228 243 244 324 342 361 366 486 513 549 684 722 732 972 1026 1083 1098 1159 1444 1539 1647 2052 2166 2196 2318 3078 3249 3294 3477 4332 4617 4636 4941 6156 6498 6588 6954 9234 9747 9882 10431 12996 13908 14823 18468 19494 19764 20862 22021 29241 29646 31293 38988 41724 44042 58482 59292 62586 66063 87723 88084 93879 116964 125172 132126 175446 187758 198189 264252 281637 350892 375516 396378 563274 594567 792756 1126548 1189134 1783701 2378268 3567402 5351103 7134804 10702206 21404412