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20725000 = 2355829
BaseRepresentation
bin100111100001…
…1110100001000
31102222221100121
41033003310020
520301200000
62020113024
7341105512
oct117036410
942887317
1020725000
1110775aaa
126b35774
1343a841a
142a76bb2
151c45b1a
hex13c3d08

20725000 has 48 divisors (see below), whose sum is σ = 48629700. Its totient is φ = 8280000.

The previous prime is 20724973. The next prime is 20725007. The reversal of 20725000 is 52702.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2010724 + 18714276 = 1418^2 + 4326^2 .

It is not an unprimeable number, because it can be changed into a prime (20725007) 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 11 ways as a sum of consecutive naturals, for example, 24586 + ... + 25414.

Almost surely, 220725000 is an apocalyptic number.

20725000 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 20725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24314850).

20725000 is an abundant number, since it is smaller than the sum of its proper divisors (27904700).

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

20725000 is an frugal number, since it uses more digits than its factorization.

20725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 20725000 is about 4552.4718560360. The cubic root of 20725000 is about 274.6828299262.

Adding to 20725000 its reverse (52702), we get a palindrome (20777702).

The spelling of 20725000 in words is "twenty million, seven hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 829 1000 1250 1658 2500 3125 3316 4145 5000 6250 6632 8290 12500 16580 20725 25000 33160 41450 82900 103625 165800 207250 414500 518125 829000 1036250 2072500 2590625 4145000 5181250 10362500 20725000