[go: up one dir, main page]

Search a number
-
+
20530176 = 210341163
BaseRepresentation
bin100111001010…
…0010000000000
31102122001002220
41032110100000
520223431201
62012011040
7336334512
oct116242000
942561086
1020530176
1110652697
126a60a80
13433a844
142a25bb2
151c08036
hex1394400

20530176 has 88 divisors (see below), whose sum is σ = 56398944. Its totient is φ = 6635520.

The previous prime is 20530163. The next prime is 20530177. The reversal of 20530176 is 67103502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20530177) 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, 125871 + ... + 126033.

Almost surely, 220530176 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 20530176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28199472).

20530176 is an abundant number, since it is smaller than the sum of its proper divisors (35868768).

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

20530176 is a wasteful number, since it uses less digits than its factorization.

20530176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 20530176 is about 4531.0237253848. The cubic root of 20530176 is about 273.8194060998.

Adding to 20530176 its reverse (67103502), we get a palindrome (87633678).

It can be divided in two parts, 20530 and 176, that added together give a triangular number (20706 = T203).

The spelling of 20530176 in words is "twenty million, five hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 163 164 192 246 256 326 328 384 489 492 512 652 656 768 978 984 1024 1304 1312 1536 1956 1968 2608 2624 3072 3912 3936 5216 5248 6683 7824 7872 10432 10496 13366 15648 15744 20049 20864 20992 26732 31296 31488 40098 41728 41984 53464 62592 62976 80196 83456 106928 125184 125952 160392 166912 213856 250368 320784 427712 500736 641568 855424 1283136 1710848 2566272 3421696 5132544 6843392 10265088 20530176