Search a number
-
+
25200 = 2432527
BaseRepresentation
bin110001001110000
31021120100
412021300
51301300
6312400
7133320
oct61160
937510
1025200
1117a2a
1212700
13b616
149280
157700
hex6270

25200 has 90 divisors (see below), whose sum is σ = 99944. Its totient is φ = 5760.

The previous prime is 25189. The next prime is 25219. The reversal of 25200 is 252.

Adding to 25200 its reverse (252), we get a palindrome (25452).

Multipling 25200 by its reverse (252), we get a square (6350400 = 25202).

25200 divided by its reverse (252) gives a square (100 = 102).

It can be divided in two parts, 25 and 200, that added together give a square (225 = 152).

25200 = T29 + T30 + ... + T55.

25200 = 112 + 122 + ... + 422.

25200 is a nontrivial binomial coefficient, being equal to C(225, 2).

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

25200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3597 + ... + 3603.

25200 is a highly composite number, because it has more divisors than any smaller number.

25200 is a superabundant number, because it has a larger abundancy index than any smaller number.

225200 is an apocalyptic number.

25200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25200 is the 224-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49972).

25200 is an abundant number, since it is smaller than the sum of its proper divisors (74744).

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

25200 is a wasteful number, since it uses less digits than its factorization.

25200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

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

The square root of 25200 is about 158.7450786639. The cubic root of 25200 is about 29.3179441776.

The spelling of 25200 in words is "twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 100 105 112 120 126 140 144 150 168 175 180 200 210 225 240 252 280 300 315 336 350 360 400 420 450 504 525 560 600 630 700 720 840 900 1008 1050 1200 1260 1400 1575 1680 1800 2100 2520 2800 3150 3600 4200 5040 6300 8400 12600 25200