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25669980 = 2233576791
BaseRepresentation
bin110000111101…
…1000101011100
31210022011121000
41201323011130
523032414410
62314110300
7431122410
oct141730534
953264530
1025669980
1113543266
12871b390
13541a14b
1435a2d40
1523c0dc0
hex187b15c

25669980 has 96 divisors (see below), whose sum is σ = 91284480. Its totient is φ = 5866560.

The previous prime is 25669961. The next prime is 25669981. The reversal of 25669980 is 8996652.

25669980 is a `hidden beast` number, since 2 + 566 + 9 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25669981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385 + ... + 7175.

It is an arithmetic number, because the mean of its divisors is an integer number (950880).

Almost surely, 225669980 is an apocalyptic number.

25669980 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 25669980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45642240).

25669980 is an abundant number, since it is smaller than the sum of its proper divisors (65614500).

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

25669980 is a wasteful number, since it uses less digits than its factorization.

25669980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 25669980 is about 5066.5550426301. Note that the first 3 decimals coincide. The cubic root of 25669980 is about 294.9908261056.

The spelling of 25669980 in words is "twenty-five million, six hundred sixty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 6791 13582 20373 27164 33955 40746 47537 61119 67910 81492 95074 101865 122238 135820 142611 183357 190148 203730 237685 244476 285222 305595 366714 407460 427833 475370 570444 611190 713055 733428 855666 916785 950740 1222380 1283499 1426110 1711332 1833570 2139165 2566998 2852220 3667140 4278330 5133996 6417495 8556660 12834990 25669980