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25420400 = 2452103617
BaseRepresentation
bin110000011111…
…0001001110000
31202211111020022
41200332021300
523001423100
62304503012
7426032645
oct140761160
952744208
1025420400
11133927a5
12861aa68
135360675
143539dcc
152371e85
hex183e270

25420400 has 60 divisors (see below), whose sum is σ = 61765392. Its totient is φ = 10053120.

The previous prime is 25420399. The next prime is 25420411. The reversal of 25420400 is 402452.

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 11 ways as a sum of consecutive naturals, for example, 40892 + ... + 41508.

Almost surely, 225420400 is an apocalyptic number.

25420400 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 25420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30882696).

25420400 is an abundant number, since it is smaller than the sum of its proper divisors (36344992).

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

25420400 is a wasteful number, since it uses less digits than its factorization.

25420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 25420400 is about 5041.8647344014. The cubic root of 25420400 is about 294.0316809151.

Adding to 25420400 its reverse (402452), we get a palindrome (25822852).

The spelling of 25420400 in words is "twenty-five million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 200 206 400 412 515 617 824 1030 1234 1648 2060 2468 2575 3085 4120 4936 5150 6170 8240 9872 10300 12340 15425 20600 24680 30850 41200 49360 61700 63551 123400 127102 246800 254204 317755 508408 635510 1016816 1271020 1588775 2542040 3177550 5084080 6355100 12710200 25420400