Search a number
-
+
25368420 = 223571117219
BaseRepresentation
bin110000011000…
…1011101100100
31202201211221010
41200301131210
522443242140
62303422220
7425425260
oct140613544
952654833
1025368420
1113357740
1285b4970
135342acc
1435250a0
152361880
hex1831764

25368420 has 288 divisors, whose sum is σ = 99025920. Its totient is φ = 4700160.

The previous prime is 25368389. The next prime is 25368433. The reversal of 25368420 is 2486352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335171 + ... + 1335189.

It is an arithmetic number, because the mean of its divisors is an integer number (343840).

Almost surely, 225368420 is an apocalyptic number.

25368420 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 25368420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49512960).

25368420 is an abundant number, since it is smaller than the sum of its proper divisors (73657500).

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

25368420 is a wasteful number, since it uses less digits than its factorization.

25368420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 25368420 is about 5036.7072577230. The cubic root of 25368420 is about 293.8311307518.

The spelling of 25368420 in words is "twenty-five million, three hundred sixty-eight thousand, four hundred twenty".