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25840980 = 223251131421
BaseRepresentation
bin110001010010…
…0110101010100
31210121212011100
41202210311110
523103402410
62321510100
7432434064
oct142446524
953555140
1025840980
111364a790
1287a2330
135479c29
1436093a4
1524068c0
hex18a4d54

25840980 has 144 divisors (see below), whose sum is σ = 88478208. Its totient is φ = 6048000.

The previous prime is 25840961. The next prime is 25840981. The reversal of 25840980 is 8904852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25840981) 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 47 ways as a sum of consecutive naturals, for example, 61170 + ... + 61590.

It is an arithmetic number, because the mean of its divisors is an integer number (614432).

Almost surely, 225840980 is an apocalyptic number.

25840980 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 25840980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44239104).

25840980 is an abundant number, since it is smaller than the sum of its proper divisors (62637228).

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

25840980 is a wasteful number, since it uses less digits than its factorization.

25840980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25840980 is about 5083.4024039023. The cubic root of 25840980 is about 295.6444019257.

The spelling of 25840980 in words is "twenty-five million, eight hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 421 465 495 558 620 660 682 842 930 990 1023 1116 1263 1364 1395 1684 1705 1860 1980 2046 2105 2526 2790 3069 3410 3789 4092 4210 4631 5052 5115 5580 6138 6315 6820 7578 8420 9262 10230 12276 12630 13051 13893 15156 15345 18524 18945 20460 23155 25260 26102 27786 30690 37890 39153 41679 46310 52204 55572 61380 65255 69465 75780 78306 83358 92620 117459 130510 138930 143561 156612 166716 195765 208395 234918 261020 277860 287122 391530 416790 430683 469836 574244 587295 717805 783060 833580 861366 1174590 1292049 1435610 1722732 2153415 2349180 2584098 2871220 4306830 5168196 6460245 8613660 12920490 25840980