Search a number
-
+
25329320 = 235171932
BaseRepresentation
bin110000010011…
…1111010101000
31202122212021222
41200213322220
522441014240
62302521212
7425203262
oct140477250
952585258
1025329320
1113330325
128596208
13532b083
143514b32
152354eb5
hex1827ea8

25329320 has 48 divisors (see below), whose sum is σ = 60657660. Its totient is φ = 9486336.

The previous prime is 25329313. The next prime is 25329323. The reversal of 25329320 is 2392352.

It can be written as a sum of positive squares in 6 ways, for example, as 7873636 + 17455684 = 2806^2 + 4178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25329320.

It is not an unprimeable number, because it can be changed into a prime (25329323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131144 + ... + 131336.

Almost surely, 225329320 is an apocalyptic number.

25329320 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 25329320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30328830).

25329320 is an abundant number, since it is smaller than the sum of its proper divisors (35328340).

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

25329320 is a wasteful number, since it uses less digits than its factorization.

25329320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 25329320 is about 5032.8242568164. The cubic root of 25329320 is about 293.6800938224.

The spelling of 25329320 in words is "twenty-five million, three hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 680 772 965 1544 1930 3281 3860 6562 7720 13124 16405 26248 32810 37249 65620 74498 131240 148996 186245 297992 372490 633233 744980 1266466 1489960 2532932 3166165 5065864 6332330 12664660 25329320