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25873980 = 223511197199
BaseRepresentation
bin110001010110…
…0111000111100
31210200112102120
41202230320330
523110431410
62322322540
7432632226
oct142547074
953615376
1025873980
1113672560
1287b9450
13548bc62
143617416
152411570
hex18ace3c

25873980 has 96 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 6209280.

The previous prime is 25873979. The next prime is 25873987. The reversal of 25873980 is 8937852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25873987) 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, 129921 + ... + 130119.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 225873980 is an apocalyptic number.

25873980 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 25873980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

25873980 is an abundant number, since it is smaller than the sum of its proper divisors (53959620).

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

25873980 is a wasteful number, since it uses less digits than its factorization.

25873980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 25873980 is about 5086.6472258257. The cubic root of 25873980 is about 295.7701984339.

The spelling of 25873980 in words is "twenty-five million, eight hundred seventy-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 199 220 330 394 398 591 597 660 788 796 985 995 1182 1194 1970 1990 2167 2189 2364 2388 2955 2985 3940 3980 4334 4378 5910 5970 6501 6567 8668 8756 10835 10945 11820 11940 13002 13134 21670 21890 26004 26268 32505 32835 39203 43340 43780 65010 65670 78406 117609 130020 131340 156812 196015 235218 392030 431233 470436 588045 784060 862466 1176090 1293699 1724932 2156165 2352180 2587398 4312330 5174796 6468495 8624660 12936990 25873980