Search a number
-
+
20726118 = 23473373
BaseRepresentation
bin100111100010…
…0000101100110
31102222222220000
41033010011212
520301213433
62020122130
7341112000
oct117040546
942888800
1020726118
1110776926
126b36346
1343a8a9a
142a77370
151c46113
hex13c4166

20726118 has 80 divisors (see below), whose sum is σ = 54304800. Its totient is φ = 5905872.

The previous prime is 20726117. The next prime is 20726119. The reversal of 20726118 is 81162702.

It is an interprime number because it is at equal distance from previous prime (20726117) and next prime (20726119).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20726091 and 20726100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20726113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55380 + ... + 55752.

It is an arithmetic number, because the mean of its divisors is an integer number (678810).

Almost surely, 220726118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20726118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152400).

20726118 is an abundant number, since it is smaller than the sum of its proper divisors (33578682).

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

20726118 is an equidigital number, since it uses as much as digits as its factorization.

20726118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20726118 is about 4552.5946448152. The cubic root of 20726118 is about 274.6877690477.

The spelling of 20726118 in words is "twenty million, seven hundred twenty-six thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 373 378 441 567 686 746 882 1029 1119 1134 1323 2058 2238 2611 2646 3087 3357 3969 5222 6174 6714 7833 7938 9261 10071 15666 18277 18522 20142 23499 27783 30213 36554 46998 54831 55566 60426 70497 109662 127939 140994 164493 211491 255878 328986 383817 422982 493479 767634 986958 1151451 1480437 2302902 2960874 3454353 6908706 10363059 20726118