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25314030 = 23257231747
BaseRepresentation
bin110000010010…
…0001011101110
31202122002022200
41200210023232
522440022110
62302322330
7425110560
oct140441356
952562280
1025314030
111331a895
1285893a6
135324121
14350d330
1523506c0
hex18242ee

25314030 has 96 divisors (see below), whose sum is σ = 78534144. Its totient is φ = 5531328.

The previous prime is 25313999. The next prime is 25314041. The reversal of 25314030 is 3041352.

It is a super-2 number, since 2×253140302 = 1281600229681800, which contains 22 as substring.

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 = 25313994 and 25314012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13617 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (818064).

Almost surely, 225314030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39267072).

25314030 is an abundant number, since it is smaller than the sum of its proper divisors (53220114).

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

25314030 is a wasteful number, since it uses less digits than its factorization.

25314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1787 counting only the distinct ones).

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

The square root of 25314030 is about 5031.3049996994. The cubic root of 25314030 is about 293.6209887685.

Adding to 25314030 its reverse (3041352), we get a palindrome (28355382).

It can be divided in two parts, 2531 and 4030, that added together give a 8-th power (6561 = 38).

The spelling of 25314030 in words is "twenty-five million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 1747 2070 2415 2898 3494 4830 5241 7245 8735 10482 12229 14490 15723 17470 24458 26205 31446 36687 40181 52410 61145 73374 78615 80362 110061 120543 122290 157230 183435 200905 220122 241086 281267 361629 366870 401810 550305 562534 602715 723258 843801 1100610 1205430 1406335 1687602 1808145 2531403 2812670 3616290 4219005 5062806 8438010 12657015 25314030