Search a number
-
+
20116530 = 2325737863
BaseRepresentation
bin100110010111…
…1010000110010
31101212000200200
41030233100302
520122212110
61555100030
7332662530
oct114572062
941760620
1020116530
111039a935
1268a1616
134224495
142959150
151b756c0
hex132f432

20116530 has 96 divisors (see below), whose sum is σ = 61461504. Its totient is φ = 4468608.

The previous prime is 20116487. The next prime is 20116531. The reversal of 20116530 is 3561102.

20116530 is a `hidden beast` number, since 2 + 0 + 11 + 653 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20116531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22879 + ... + 23741.

It is an arithmetic number, because the mean of its divisors is an integer number (640224).

Almost surely, 220116530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20116530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30730752).

20116530 is an abundant number, since it is smaller than the sum of its proper divisors (41344974).

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

20116530 is a wasteful number, since it uses less digits than its factorization.

20116530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20116530 is about 4485.1454825903. The cubic root of 20116530 is about 271.9679262209.

Adding to 20116530 its reverse (3561102), we get a palindrome (23677632).

The spelling of 20116530 in words is "twenty million, one hundred sixteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 863 1110 1295 1554 1665 1726 2331 2589 2590 3330 3885 4315 4662 5178 6041 7767 7770 8630 11655 12082 12945 15534 18123 23310 25890 30205 31931 36246 38835 54369 60410 63862 77670 90615 95793 108738 159655 181230 191586 223517 271845 287379 319310 447034 478965 543690 574758 670551 957930 1117585 1341102 1436895 2011653 2235170 2873790 3352755 4023306 6705510 10058265 20116530