Search a number
-
+
25301920 = 2557192941
BaseRepresentation
bin110000010000…
…1001110100000
31202121110201011
41200201032200
522434130140
62302150304
7425030350
oct140411640
952543634
1025301920
1113311786
128582394
13531b767
143508b60
15234bcea
hex18213a0

25301920 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 7741440.

The previous prime is 25301917. The next prime is 25301923. The reversal of 25301920 is 2910352.

It is an interprime number because it is at equal distance from previous prime (25301917) and next prime (25301923).

It is a junction number, because it is equal to n+sod(n) for n = 25301891 and 25301900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25301923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617100 + ... + 617140.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 225301920 is an apocalyptic number.

25301920 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 25301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

25301920 is an abundant number, since it is smaller than the sum of its proper divisors (50902880).

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

25301920 is a wasteful number, since it uses less digits than its factorization.

25301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 25301920 is about 5030.1013906282. The cubic root of 25301920 is about 293.5741594366.

The spelling of 25301920 in words is "twenty-five million, three hundred one thousand, nine hundred twenty".