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25820680 = 235897253
BaseRepresentation
bin110001001111…
…1111000001000
31210120211022111
41202133320020
523102230210
62321232104
7432320644
oct142377010
953524274
1025820680
1113636506
128792634
135470912
143601c24
15240088a
hex189fe08

25820680 has 32 divisors (see below), whose sum is σ = 58757400. Its totient is φ = 10210816.

The previous prime is 25820659. The next prime is 25820687. The reversal of 25820680 is 8602852.

It can be written as a sum of positive squares in 4 ways, for example, as 19660356 + 6160324 = 4434^2 + 2482^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25820687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 7186.

Almost surely, 225820680 is an apocalyptic number.

25820680 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 25820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29378700).

25820680 is an abundant number, since it is smaller than the sum of its proper divisors (32936720).

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

25820680 is a wasteful number, since it uses less digits than its factorization.

25820680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 25820680 is about 5081.4053174294. The cubic root of 25820680 is about 295.5669648006.

The spelling of 25820680 in words is "twenty-five million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 7253 14506 29012 36265 58024 72530 145060 290120 645517 1291034 2582068 3227585 5164136 6455170 12910340 25820680