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21413106 = 23311134759
BaseRepresentation
bin101000110101…
…1110011110010
31111021220021000
41101223303302
520440204411
62042542430
7350002611
oct121536362
944256230
1021413106
11110a5a90
127207a16
1345896a0
142bb5878
151d2e956
hex146bcf2

21413106 has 128 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 5762880.

The previous prime is 21413101. The next prime is 21413123. The reversal of 21413106 is 60131412.

It is a happy number.

It is a super-2 number, since 2×214131062 = 917042217134472, which contains 22 as substring.

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 (21413101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362905 + ... + 362963.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 221413106 is an apocalyptic number.

21413106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21413106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

21413106 is an abundant number, since it is smaller than the sum of its proper divisors (36647694).

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

21413106 is a wasteful number, since it uses less digits than its factorization.

21413106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21413106 is about 4627.4297401473. The cubic root of 21413106 is about 277.6897752281.

Adding to 21413106 its reverse (60131412), we get a palindrome (81544518).

The spelling of 21413106 in words is "twenty-one million, four hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 47 54 59 66 78 94 99 117 118 141 143 177 198 234 282 286 297 351 354 423 429 517 531 594 611 649 702 767 846 858 1034 1062 1222 1269 1287 1298 1534 1551 1593 1833 1947 2301 2538 2574 2773 3102 3186 3666 3861 3894 4602 4653 5499 5546 5841 6721 6903 7722 8319 8437 9306 10998 11682 13442 13806 13959 16497 16638 16874 17523 20163 20709 24957 25311 27918 30503 32994 35046 36049 40326 41418 49914 50622 60489 61006 72098 74871 75933 91509 108147 120978 149742 151866 181467 183018 216294 227799 274527 324441 362934 396539 455598 549054 648882 793078 823581 973323 1189617 1647162 1946646 2379234 3568851 7137702 10706553 21413106