Search a number
-
+
20709568 = 2611231279
BaseRepresentation
bin100111100000…
…0000011000000
31102222011012001
41033000003000
520300201233
62015513344
7341012515
oct117000300
942864161
1020709568
1110765450
126b28854
1343a13a9
142a7130c
151c4127d
hex13c00c0

20709568 has 56 divisors (see below), whose sum is σ = 46817280. Its totient is φ = 8997120.

The previous prime is 20709547. The next prime is 20709569. The reversal of 20709568 is 86590702.

It is not an unprimeable number, because it can be changed into a prime (20709569) 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 7 ways as a sum of consecutive naturals, for example, 15553 + ... + 16831.

Almost surely, 220709568 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 20709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

20709568 is an abundant number, since it is smaller than the sum of its proper divisors (26107712).

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

20709568 is a wasteful number, since it uses less digits than its factorization.

20709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 20709568 is about 4550.7766370148. The cubic root of 20709568 is about 274.6146359901.

The spelling of 20709568 in words is "twenty million, seven hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1279 1472 2024 2558 4048 5116 8096 10232 14069 16192 20464 28138 29417 40928 56276 58834 81856 112552 117668 225104 235336 323587 450208 470672 647174 900416 941344 1294348 1882688 2588696 5177392 10354784 20709568