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25204320 = 2532523761
BaseRepresentation
bin110000000100…
…1011001100000
31202102111211100
41200021121200
522423014240
62300114400
7424142661
oct140113140
952374740
1025204320
1113255419
128535a00
1352b61cb
1434c1368
15232ce30
hex1809660

25204320 has 144 divisors (see below), whose sum is σ = 89867232. Its totient is φ = 6420480.

The previous prime is 25204259. The next prime is 25204337. The reversal of 25204320 is 2340252.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 25204293 and 25204302.

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, 32740 + ... + 33500.

It is an arithmetic number, because the mean of its divisors is an integer number (624078).

Almost surely, 225204320 is an apocalyptic number.

25204320 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 25204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44933616).

25204320 is an abundant number, since it is smaller than the sum of its proper divisors (64662912).

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

25204320 is a wasteful number, since it uses less digits than its factorization.

25204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 25204320 is about 5020.3904230647. The cubic root of 25204320 is about 293.1961939294.

Adding to 25204320 its reverse (2340252), we get a palindrome (27544572).

The spelling of 25204320 in words is "twenty-five million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 761 828 920 1035 1104 1380 1440 1522 1656 1840 2070 2208 2283 2760 3044 3312 3680 3805 4140 4566 5520 6088 6624 6849 7610 8280 9132 11040 11415 12176 13698 15220 16560 17503 18264 22830 24352 27396 30440 33120 34245 35006 36528 45660 52509 54792 60880 68490 70012 73056 87515 91320 105018 109584 121760 136980 140024 157527 175030 182640 210036 219168 262545 273960 280048 315054 350060 365280 420072 525090 547920 560096 630108 700120 787635 840144 1050180 1095840 1260216 1400240 1575270 1680288 2100360 2520432 2800480 3150540 4200720 5040864 6301080 8401440 12602160 25204320