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25716680 = 23511211277
BaseRepresentation
bin110001000011…
…0011111001000
31210101112122122
41202012133020
523040413210
62315110412
7431405513
oct142063710
953345578
1025716680
1113575360
128742408
135435492
1435b5d7a
1523ceb55
hex18867c8

25716680 has 64 divisors (see below), whose sum is σ = 63650880. Its totient is φ = 9273600.

The previous prime is 25716679. The next prime is 25716683. The reversal of 25716680 is 8661752.

It is a super-2 number, since 2×257166802 = 1322695260444800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25716680.

It is not an unprimeable number, because it can be changed into a prime (25716683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92702 + ... + 92978.

It is an arithmetic number, because the mean of its divisors is an integer number (994545).

Almost surely, 225716680 is an apocalyptic number.

25716680 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 25716680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31825440).

25716680 is an abundant number, since it is smaller than the sum of its proper divisors (37934200).

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

25716680 is a wasteful number, since it uses less digits than its factorization.

25716680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 25716680 is about 5071.1616026311. The cubic root of 25716680 is about 295.1696046632.

The spelling of 25716680 in words is "twenty-five million, seven hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 277 422 440 554 844 1055 1108 1385 1688 2110 2216 2321 2770 3047 4220 4642 5540 6094 8440 9284 11080 11605 12188 15235 18568 23210 24376 30470 46420 58447 60940 92840 116894 121880 233788 292235 467576 584470 642917 1168940 1285834 2337880 2571668 3214585 5143336 6429170 12858340 25716680