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20116825 = 521137121
BaseRepresentation
bin100110010111…
…1010101011001
31101212001002121
41030233111121
520122214300
61555101241
7332663431
oct114572531
941761077
1020116825
11103a0083
1268a1821
134224661
1429592c1
151b7581a
hex132f559

20116825 has 12 divisors (see below), whose sum is σ = 25169148. Its totient is φ = 15948800.

The previous prime is 20116813. The next prime is 20116841. The reversal of 20116825 is 52861102.

20116825 = 31712 + 31722.

It can be written as a sum of positive squares in 6 ways, for example, as 10055241 + 10061584 = 3171^2 + 3172^2 .

It is not a de Polignac number, because 20116825 - 223 = 11728217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20116825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736 + ... + 6385.

It is an arithmetic number, because the mean of its divisors is an integer number (2097429).

Almost surely, 220116825 is an apocalyptic number.

20116825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20116825 is the 3172-nd centered square number.

It is an amenable number.

20116825 is a deficient number, since it is larger than the sum of its proper divisors (5052323).

20116825 is a wasteful number, since it uses less digits than its factorization.

20116825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 20116825 is about 4485.1783688054. The cubic root of 20116825 is about 271.9692556442.

Adding to 20116825 its reverse (52861102), we get a palindrome (72977927).

It can be divided in two parts, 2011 and 6825, that added together give a square (8836 = 942).

The spelling of 20116825 in words is "twenty million, one hundred sixteen thousand, eight hundred twenty-five".

Divisors: 1 5 25 113 565 2825 7121 35605 178025 804673 4023365 20116825