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20126500 = 225340253
BaseRepresentation
bin100110011000…
…1101100100100
31101212112100221
41030301230210
520123022000
61555214124
7333033562
oct114615444
941775327
1020126500
11103a7379
1268a7344
134228b94
14295ca32
151b7861a
hex1331b24

20126500 has 24 divisors (see below), whose sum is σ = 43957368. Its totient is φ = 8050400.

The previous prime is 20126497. The next prime is 20126503. The reversal of 20126500 is 562102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20126497) and next prime (20126503).

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 20124196 = 48^2 + 4486^2 .

It is not an unprimeable number, because it can be changed into a prime (20126503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19627 + ... + 20626.

It is an arithmetic number, because the mean of its divisors is an integer number (1831557).

Almost surely, 220126500 is an apocalyptic number.

20126500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20126500 is an abundant number, since it is smaller than the sum of its proper divisors (23830868).

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

20126500 is a wasteful number, since it uses less digits than its factorization.

20126500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40272 (or 40260 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 20126500 is about 4486.2567915803. The cubic root of 20126500 is about 272.0128490182.

Adding to 20126500 its reverse (562102), we get a palindrome (20688602).

The spelling of 20126500 in words is "twenty million, one hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 40253 80506 161012 201265 402530 805060 1006325 2012650 4025300 5031625 10063250 20126500