Search a number
-
+
25870320 = 2433572959
BaseRepresentation
bin110001010101…
…1111111110000
31210200100102000
41202223333300
523110322240
62322254000
7432615450
oct142537760
953610360
1025870320
111366a833
1287b7300
13548a3a8
143615d60
152410430
hex18abff0

25870320 has 320 divisors, whose sum is σ = 107136000. Its totient is φ = 5612544.

The previous prime is 25870309. The next prime is 25870321. The reversal of 25870320 is 2307852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25870321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438451 + ... + 438509.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 225870320 is an apocalyptic number.

25870320 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 25870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

25870320 is an abundant number, since it is smaller than the sum of its proper divisors (81265680).

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

25870320 is a wasteful number, since it uses less digits than its factorization.

25870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25870320 is about 5086.2874476380. The cubic root of 25870320 is about 295.7562517331.

The spelling of 25870320 in words is "twenty-five million, eight hundred seventy thousand, three hundred twenty".