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25734680 = 2355361199
BaseRepresentation
bin110001000101…
…0111000011000
31210102110100022
41202022320120
523042002210
62315330012
7431512136
oct142127030
953373308
1025734680
1113587934
128750908
13544072a
1435bc756
1523d5155
hex188ae18

25734680 has 64 divisors (see below), whose sum is σ = 60264000. Its totient is φ = 9884160.

The previous prime is 25734673. The next prime is 25734691. The reversal of 25734680 is 8643752.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 25734680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129221 + ... + 129419.

It is an arithmetic number, because the mean of its divisors is an integer number (941625).

Almost surely, 225734680 is an apocalyptic number.

25734680 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 25734680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132000).

25734680 is an abundant number, since it is smaller than the sum of its proper divisors (34529320).

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

25734680 is a wasteful number, since it uses less digits than its factorization.

25734680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 25734680 is about 5072.9360335017. The cubic root of 25734680 is about 295.2384550976.

The spelling of 25734680 in words is "twenty-five million, seven hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 199 212 244 265 305 398 424 488 530 610 796 995 1060 1220 1592 1990 2120 2440 3233 3980 6466 7960 10547 12139 12932 16165 21094 24278 25864 32330 42188 48556 52735 60695 64660 84376 97112 105470 121390 129320 210940 242780 421880 485560 643367 1286734 2573468 3216835 5146936 6433670 12867340 25734680