Search a number
-
+
21413322 = 234723821
BaseRepresentation
bin101000110101…
…1110111001010
31111021220120000
41101223313022
520440211242
62042543430
7350003340
oct121536712
944256500
1021413322
11110a6167
127207b76
134589808
142bb5990
151d2ea4c
hex146bdca

21413322 has 80 divisors (see below), whose sum is σ = 57290112. Its totient is φ = 5844960.

The previous prime is 21413303. The next prime is 21413369. The reversal of 21413322 is 22331412.

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

It is a junction number, because it is equal to n+sod(n) for n = 21413295 and 21413304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25672 + ... + 26492.

Almost surely, 221413322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21413322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645056).

21413322 is an abundant number, since it is smaller than the sum of its proper divisors (35876790).

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

21413322 is a wasteful number, since it uses less digits than its factorization.

21413322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 21413322 is about 4627.4530791787. The cubic root of 21413322 is about 277.6907089365.

Adding to 21413322 its reverse (22331412), we get a palindrome (43744734).

It can be divided in two parts, 21413 and 322, that multiplied together give a palindrome (6894986).

The spelling of 21413322 in words is "twenty-one million, four hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 821 966 1134 1242 1449 1642 1863 2463 2898 3726 4347 4926 5747 7389 8694 11494 13041 14778 17241 18883 22167 26082 34482 37766 44334 51723 56649 66501 103446 113298 132181 133002 155169 169947 264362 310338 339894 396543 465507 509841 793086 931014 1019682 1189629 1529523 2379258 3059046 3568887 7137774 10706661 21413322