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25213320 = 23325116367
BaseRepresentation
bin110000000101…
…1100110001000
31202102222011200
41200023212020
522423311240
62300224200
7424211136
oct140134610
952388150
1025213320
1113261160
12853b060
1352ba332
1434c4756
152330930
hex180b988

25213320 has 96 divisors (see below), whose sum is σ = 89406720. Its totient is φ = 6111360.

The previous prime is 25213301. The next prime is 25213369. The reversal of 25213320 is 2331252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 25213293 and 25213302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777 + ... + 7143.

It is an arithmetic number, because the mean of its divisors is an integer number (931320).

Almost surely, 225213320 is an apocalyptic number.

25213320 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 25213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44703360).

25213320 is an abundant number, since it is smaller than the sum of its proper divisors (64193400).

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

25213320 is a wasteful number, since it uses less digits than its factorization.

25213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 25213320 is about 5021.2866876927. The cubic root of 25213320 is about 293.2310881026.

Adding to 25213320 its reverse (2331252), we get a palindrome (27544572).

The spelling of 25213320 in words is "twenty-five million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 6367 12734 19101 25468 31835 38202 50936 57303 63670 70037 76404 95505 114606 127340 140074 152808 191010 210111 229212 254680 280148 286515 350185 382020 420222 458424 560296 573030 630333 700370 764040 840444 1050555 1146060 1260666 1400740 1680888 2101110 2292120 2521332 2801480 3151665 4202220 5042664 6303330 8404440 12606660 25213320