Search a number
-
+
20025000 = 23325589
BaseRepresentation
bin100110001100…
…0111010101000
31101200101010200
41030120322220
520111300000
61553112200
7332131632
oct114307250
941611120
1020025000
1110338096
126858660
1341c1918
142933a52
151b58500
hex1318ea8

20025000 has 144 divisors (see below), whose sum is σ = 68550300. Its totient is φ = 5280000.

The previous prime is 20024989. The next prime is 20025001. The reversal of 20025000 is 52002.

It can be written as a sum of positive squares in 6 ways, for example, as 4955076 + 15069924 = 2226^2 + 3882^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20025001) 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 35 ways as a sum of consecutive naturals, for example, 224956 + ... + 225044.

Almost surely, 220025000 is an apocalyptic number.

20025000 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 20025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34275150).

20025000 is an abundant number, since it is smaller than the sum of its proper divisors (48525300).

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

20025000 is an equidigital number, since it uses as much as digits as its factorization.

20025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20025000 is about 4474.9301670529. The cubic root of 20025000 is about 271.5548153009.

Adding to 20025000 its reverse (52002), we get a palindrome (20077002).

It can be divided in two parts, 200 and 25000, that added together give a triangular number (25200 = T224).

The spelling of 20025000 in words is "twenty million, twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 125 150 178 180 200 225 250 267 300 356 360 375 445 450 500 534 600 625 712 750 801 890 900 1000 1068 1125 1250 1335 1500 1602 1780 1800 1875 2136 2225 2250 2500 2670 3000 3125 3204 3560 3750 4005 4450 4500 5000 5340 5625 6250 6408 6675 7500 8010 8900 9000 9375 10680 11125 11250 12500 13350 15000 16020 17800 18750 20025 22250 22500 25000 26700 28125 32040 33375 37500 40050 44500 45000 53400 55625 56250 66750 75000 80100 89000 100125 111250 112500 133500 160200 166875 200250 222500 225000 267000 278125 333750 400500 445000 500625 556250 667500 801000 834375 1001250 1112500 1335000 1668750 2002500 2225000 2503125 3337500 4005000 5006250 6675000 10012500 20025000