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25683630 = 23571941157
BaseRepresentation
bin110000111111…
…0011010101110
31210022212022120
41201332122232
523033334010
62314253410
7431210250
oct141763256
953285276
1025683630
1113552545
128727266
13542341b
1435a7cd0
1523c4e70
hex187e6ae

25683630 has 128 divisors (see below), whose sum is σ = 76446720. Its totient is φ = 5391360.

The previous prime is 25683629. The next prime is 25683643. The reversal of 25683630 is 3638652.

It is a junction number, because it is equal to n+sod(n) for n = 25683591 and 25683600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163512 + ... + 163668.

It is an arithmetic number, because the mean of its divisors is an integer number (597240).

Almost surely, 225683630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25683630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223360).

25683630 is an abundant number, since it is smaller than the sum of its proper divisors (50763090).

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

25683630 is a wasteful number, since it uses less digits than its factorization.

25683630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 25683630 is about 5067.9019327528. The cubic root of 25683630 is about 295.0431039189.

The spelling of 25683630 in words is "twenty-five million, six hundred eighty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 41 42 57 70 82 95 105 114 123 133 157 190 205 210 246 266 285 287 314 399 410 471 570 574 615 665 779 785 798 861 942 1099 1230 1330 1435 1558 1570 1722 1995 2198 2337 2355 2870 2983 3297 3895 3990 4305 4674 4710 5453 5495 5966 6437 6594 7790 8610 8949 10906 10990 11685 12874 14915 16359 16485 17898 19311 20881 23370 27265 29830 32185 32718 32970 38622 41762 44745 45059 54530 62643 64370 81795 89490 90118 96555 104405 122303 125286 135177 163590 193110 208810 225295 244606 270354 313215 366909 450590 611515 626430 675885 733818 856121 1223030 1351770 1712242 1834545 2568363 3669090 4280605 5136726 8561210 12841815 25683630