Search a number
-
+
25116820 = 22517312383
BaseRepresentation
bin101111111010…
…0000010010100
31202021001210121
41133310002110
522412214240
62254201324
7423326611
oct137640224
952231717
1025116820
11131a5703
1284b3244
135285431
14349b508
15231204a
hex17f4094

25116820 has 48 divisors (see below), whose sum is σ = 57673728. Its totient is φ = 9146880.

The previous prime is 25116809. The next prime is 25116823. The reversal of 25116820 is 2861152.

25116820 = 12872 + 12882 + ... + 13012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25116823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9349 + ... + 11731.

It is an arithmetic number, because the mean of its divisors is an integer number (1201536).

Almost surely, 225116820 is an apocalyptic number.

25116820 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 25116820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28836864).

25116820 is an abundant number, since it is smaller than the sum of its proper divisors (32556908).

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

25116820 is a wasteful number, since it uses less digits than its factorization.

25116820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 25116820 is about 5011.6683848794. The cubic root of 25116820 is about 292.8565112589.

Adding to 25116820 its reverse (2861152), we get a palindrome (27977972).

It can be divided in two parts, 251 and 16820, that added together give a palindrome (17071).

The spelling of 25116820 in words is "twenty-five million, one hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2383 2635 4766 5270 9532 10540 11915 23830 40511 47660 73873 81022 147746 162044 202555 295492 369365 405110 738730 810220 1255841 1477460 2511682 5023364 6279205 12558410 25116820