Search a number
-
+
25434320 = 245232601
BaseRepresentation
bin110000100000…
…1100011010000
31202212012022212
41201001203100
523002344240
62305051252
7426121352
oct141014320
952765285
1025434320
11133a21aa
128626b28
135366ac2
1435410d2
152376165
hex18418d0

25434320 has 60 divisors (see below), whose sum is σ = 61920516. Its totient is φ = 9715200.

The previous prime is 25434319. The next prime is 25434323. The reversal of 25434320 is 2343452.

It can be written as a sum of positive squares in 2 ways, for example, as 15649936 + 9784384 = 3956^2 + 3128^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25434323) 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, 42020 + ... + 42620.

Almost surely, 225434320 is an apocalyptic number.

25434320 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 25434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30960258).

25434320 is an abundant number, since it is smaller than the sum of its proper divisors (36486196).

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

25434320 is a wasteful number, since it uses less digits than its factorization.

25434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 25434320 is about 5043.2449871090. The cubic root of 25434320 is about 294.0853408908.

Adding to 25434320 its reverse (2343452), we get a palindrome (27777772).

The spelling of 25434320 in words is "twenty-five million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 529 601 920 1058 1202 1840 2116 2404 2645 3005 4232 4808 5290 6010 8464 9616 10580 12020 13823 21160 24040 27646 42320 48080 55292 69115 110584 138230 221168 276460 317929 552920 635858 1105840 1271716 1589645 2543432 3179290 5086864 6358580 12717160 25434320