Search a number
-
+
21425000 = 2355857
BaseRepresentation
bin101000110111…
…0101101101000
31111022111120112
41101232231220
520441100000
62043113452
7350052362
oct121565550
944274515
1021425000
1111103a13
127212888
134591c1c
142bb9d32
151d33235
hex146eb68

21425000 has 48 divisors (see below), whose sum is σ = 50270220. Its totient is φ = 8560000.

The previous prime is 21424973. The next prime is 21425003. The reversal of 21425000 is 52412.

It can be written as a sum of positive squares in 6 ways, for example, as 209764 + 21215236 = 458^2 + 4606^2 .

It is not an unprimeable number, because it can be changed into a prime (21425003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24572 + ... + 25428.

Almost surely, 221425000 is an apocalyptic number.

21425000 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 21425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25135110).

21425000 is an abundant number, since it is smaller than the sum of its proper divisors (28845220).

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

21425000 is an frugal number, since it uses more digits than its factorization.

21425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 21425000 is about 4628.7147244132. The cubic root of 21425000 is about 277.7411803637.

Adding to 21425000 its reverse (52412), we get a palindrome (21477412).

The spelling of 21425000 in words is "twenty-one million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 857 1000 1250 1714 2500 3125 3428 4285 5000 6250 6856 8570 12500 17140 21425 25000 34280 42850 85700 107125 171400 214250 428500 535625 857000 1071250 2142500 2678125 4285000 5356250 10712500 21425000