Search a number
-
+
20616832 = 272347149
BaseRepresentation
bin100111010100…
…1011010000000
31102210102222101
41032221122000
520234214312
62013520144
7340145245
oct116513200
942712871
1020616832
1110701805
126aa3054
13436b112
142a495cc
151c23a57
hex13a9680

20616832 has 64 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 9585664.

The previous prime is 20616803. The next prime is 20616863. The reversal of 20616832 is 23861602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20616832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138294 + ... + 138442.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 220616832 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 20616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

20616832 is an abundant number, since it is smaller than the sum of its proper divisors (23447168).

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

20616832 is a wasteful number, since it uses less digits than its factorization.

20616832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 20616832 is about 4540.5761748923. The cubic root of 20616832 is about 274.2041209023.

The spelling of 20616832 in words is "twenty million, six hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 149 184 188 298 368 376 596 736 752 1081 1192 1472 1504 2162 2384 2944 3008 3427 4324 4768 6016 6854 7003 8648 9536 13708 14006 17296 19072 27416 28012 34592 54832 56024 69184 109664 112048 138368 161069 219328 224096 322138 438656 448192 644276 896384 1288552 2577104 5154208 10308416 20616832