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20716000 = 25535179
BaseRepresentation
bin100111100000…
…1100111100000
31102222111000021
41033001213200
520300403000
62020003224
7341040334
oct117014740
942874007
1020716000
111076a268
126b30514
1343a42b6
142a737c4
151c4311a
hex13c19e0

20716000 has 48 divisors (see below), whose sum is σ = 50909040. Its totient is φ = 8284800.

The previous prime is 20715997. The next prime is 20716001. The reversal of 20716000 is 61702.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20716001) 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, 1411 + ... + 6589.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605).

Almost surely, 220716000 is an apocalyptic number.

20716000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25454520).

20716000 is an abundant number, since it is smaller than the sum of its proper divisors (30193040).

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

20716000 is an equidigital number, since it uses as much as digits as its factorization.

20716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 20716000 is about 4551.4832747139. The cubic root of 20716000 is about 274.6430630841.

Adding to 20716000 its reverse (61702), we get a palindrome (20777702).

The spelling of 20716000 in words is "twenty million, seven hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5179 10358 20716 25895 41432 51790 82864 103580 129475 165728 207160 258950 414320 517900 647375 828640 1035800 1294750 2071600 2589500 4143200 5179000 10358000 20716000