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21612006 = 23213194861
BaseRepresentation
bin101001001110…
…0010111100110
31111200000002200
41102130113212
521013041011
62051115330
7351461523
oct122342746
944600080
1021612006
1111221469
1272a2b46
134629090
142c2814a
151d6d856
hex149c5e6

21612006 has 48 divisors (see below), whose sum is σ = 53093040. Its totient is φ = 6298560.

The previous prime is 21611999. The next prime is 21612011. The reversal of 21612006 is 60021612.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21612006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016 + ... + 6876.

It is an arithmetic number, because the mean of its divisors is an integer number (1106105).

Almost surely, 221612006 is an apocalyptic number.

21612006 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 21612006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26546520).

21612006 is an abundant number, since it is smaller than the sum of its proper divisors (31481034).

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

21612006 is a wasteful number, since it uses less digits than its factorization.

21612006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4898 counting only the distinct ones).

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

The square root of 21612006 is about 4648.8714759606. The cubic root of 21612006 is about 278.5469194554.

Adding to 21612006 its reverse (60021612), we get a palindrome (81633618).

The spelling of 21612006 in words is "twenty-one million, six hundred twelve thousand, six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 4861 9722 14583 29166 43749 63193 87498 92359 126386 184718 189579 277077 379158 554154 568737 831231 1137474 1200667 1662462 2401334 3602001 7204002 10806003 21612006