Search a number
-
+
20962016 = 2519231499
BaseRepresentation
bin100111111110…
…1101011100000
31110102222110222
41033331223200
520331241031
62025142212
7343113515
oct117755340
943388428
1020962016
1110918089
12702a968
13445c27a
142ad930c
151c90e7b
hex13fdae0

20962016 has 48 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 9491328.

The previous prime is 20962013. The next prime is 20962031. The reversal of 20962016 is 61026902.

It is a super-2 number, since 2×209620162 = 878812229568512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20962013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13235 + ... + 14733.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 220962016 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 20962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20962016 is an abundant number, since it is smaller than the sum of its proper divisors (24397984).

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

20962016 is a wasteful number, since it uses less digits than its factorization.

20962016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 20962016 is about 4578.4294250321. The cubic root of 20962016 is about 275.7259760150.

Adding to 20962016 its reverse (61026902), we get a palindrome (81988918).

The spelling of 20962016 in words is "twenty million, nine hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1499 1748 2998 3496 5996 6992 11992 13984 23984 28481 34477 47968 56962 68954 113924 137908 227848 275816 455696 551632 655063 911392 1103264 1310126 2620252 5240504 10481008 20962016