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25303520 = 2551121307
BaseRepresentation
bin110000010000…
…1100111100000
31202121112220102
41200201213200
522434203040
62302201532
7425035124
oct140414740
952545812
1025303520
1113312a00
1285832a8
13531c3c8
143509584
15234c515
hex18219e0

25303520 has 72 divisors (see below), whose sum is σ = 65758392. Its totient is φ = 9194240.

The previous prime is 25303513. The next prime is 25303529. The reversal of 25303520 is 2530352.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 25303492 and 25303501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25303529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18707 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (913311).

Almost surely, 225303520 is an apocalyptic number.

25303520 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 25303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32879196).

25303520 is an abundant number, since it is smaller than the sum of its proper divisors (40454872).

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

25303520 is a wasteful number, since it uses less digits than its factorization.

25303520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 25303520 is about 5030.2604306338. The cubic root of 25303520 is about 293.5803474881.

Adding to 25303520 its reverse (2530352), we get a palindrome (27833872).

The spelling of 25303520 in words is "twenty-five million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1307 1760 1936 2420 2614 3872 4840 5228 6535 9680 10456 13070 14377 19360 20912 26140 28754 41824 52280 57508 71885 104560 115016 143770 158147 209120 230032 287540 316294 460064 575080 632588 790735 1150160 1265176 1581470 2300320 2530352 3162940 5060704 6325880 12651760 25303520