Search a number
-
+
20616696 = 23323771109
BaseRepresentation
bin100111010100…
…1010111111000
31102210102210100
41032221113320
520234213241
62013515400
7340144662
oct116512770
942712710
1020616696
11107016a1
126aa2b60
13436b039
142a49532
151c239b6
hex13a95f8

20616696 has 96 divisors (see below), whose sum is σ = 58687200. Its totient is φ = 6531840.

The previous prime is 20616677. The next prime is 20616697. The reversal of 20616696 is 69661602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20616696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20616697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189090 + ... + 189198.

It is an arithmetic number, because the mean of its divisors is an integer number (611325).

Almost surely, 220616696 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 20616696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29343600).

20616696 is an abundant number, since it is smaller than the sum of its proper divisors (38070504).

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

20616696 is a wasteful number, since it uses less digits than its factorization.

20616696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20616696 is about 4540.5611987947. The cubic root of 20616696 is about 274.2035179671.

It can be divided in two parts, 20616 and 696, that added together give a palindrome (21312).

The spelling of 20616696 in words is "twenty million, six hundred sixteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 109 111 142 148 213 218 222 284 296 327 333 426 436 444 568 639 654 666 852 872 888 981 1278 1308 1332 1704 1962 2556 2616 2627 2664 3924 4033 5112 5254 7739 7848 7881 8066 10508 12099 15478 15762 16132 21016 23217 23643 24198 30956 31524 32264 36297 46434 47286 48396 61912 63048 69651 72594 92868 94572 96792 139302 145188 185736 189144 278604 286343 290376 557208 572686 859029 1145372 1718058 2290744 2577087 3436116 5154174 6872232 10308348 20616696