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20884842 = 23211243223
BaseRepresentation
bin100111110101…
…0110101101010
31110022001121200
41033222311222
520321303332
62023345030
7342342516
oct117526552
943261550
1020884842
1110875100
126bb2176
1344330c4
142ab9146
151c7817c
hex13ead6a

20884842 has 72 divisors (see below), whose sum is σ = 51123072. Its totient is φ = 6153840.

The previous prime is 20884837. The next prime is 20884847. The reversal of 20884842 is 24848802.

It is an interprime number because it is at equal distance from previous prime (20884837) and next prime (20884847).

It is a junction number, because it is equal to n+sod(n) for n = 20884797 and 20884806.

It is not an unprimeable number, because it can be changed into a prime (20884847) 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, 93543 + ... + 93765.

Almost surely, 220884842 is an apocalyptic number.

20884842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20884842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25561536).

20884842 is an abundant number, since it is smaller than the sum of its proper divisors (30238230).

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

20884842 is a wasteful number, since it uses less digits than its factorization.

20884842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 20884842 is about 4569.9936542626. The cubic root of 20884842 is about 275.3871879339.

The spelling of 20884842 in words is "twenty million, eight hundred eighty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 223 242 258 363 387 446 473 669 726 774 946 1089 1338 1419 2007 2178 2453 2838 4014 4257 4906 5203 7359 8514 9589 10406 14718 15609 19178 22077 26983 28767 31218 44154 46827 53966 57534 80949 86301 93654 105479 161898 172602 210958 242847 316437 485694 632874 949311 1160269 1898622 2320538 3480807 6961614 10442421 20884842