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25696320 = 2635132971
BaseRepresentation
bin110001000000…
…1100001000000
31210100111201120
41202001201000
523034240240
62314432240
7431262246
oct142014100
953314646
1025696320
1113561031
128732680
135429130
1435ac796
1523c8ad0
hex1881840

25696320 has 224 divisors, whose sum is σ = 92171520. Its totient is φ = 6021120.

The previous prime is 25696301. The next prime is 25696331. The reversal of 25696320 is 2369652.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361885 + ... + 361955.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 225696320 is an apocalyptic number.

25696320 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 25696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

25696320 is an abundant number, since it is smaller than the sum of its proper divisors (66475200).

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

25696320 is a wasteful number, since it uses less digits than its factorization.

25696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 25696320 is about 5069.1537755330. The cubic root of 25696320 is about 295.0916884391.

The spelling of 25696320 in words is "twenty-five million, six hundred ninety-six thousand, three hundred twenty".