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20710144 = 287213127
BaseRepresentation
bin100111100000…
…0001100000000
31102222011222101
41033000030000
520300211034
62015520144
7341014300
oct117001400
942864871
1020710144
1110765924
126b29054
1343a1730
142a71600
151c41514
hex13c0300

20710144 has 108 divisors (see below), whose sum is σ = 52195584. Its totient is φ = 8128512.

The previous prime is 20710141. The next prime is 20710159. The reversal of 20710144 is 44101702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20710141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163009 + ... + 163135.

Almost surely, 220710144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26097792).

20710144 is an abundant number, since it is smaller than the sum of its proper divisors (31485440).

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

20710144 is a wasteful number, since it uses less digits than its factorization.

20710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 20710144 is about 4550.8399224758. The cubic root of 20710144 is about 274.6171819400.

Adding to 20710144 its reverse (44101702), we get a palindrome (64811846).

The spelling of 20710144 in words is "twenty million, seven hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 127 128 182 196 208 224 254 256 364 392 416 448 508 637 728 784 832 889 896 1016 1274 1456 1568 1651 1664 1778 1792 2032 2548 2912 3136 3302 3328 3556 4064 5096 5824 6223 6272 6604 7112 8128 10192 11557 11648 12446 12544 13208 14224 16256 20384 23114 23296 24892 26416 28448 32512 40768 46228 49784 52832 56896 80899 81536 92456 99568 105664 113792 161798 163072 184912 199136 211328 227584 323596 369824 398272 422656 647192 739648 796544 1294384 1479296 1593088 2588768 2958592 5177536 10355072 20710144