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25320540 = 22357192167
BaseRepresentation
bin110000010010…
…1110001011100
31202122102020210
41200211301130
522440224130
62302412420
7425135550
oct140456134
952572223
1025320540
1113324773
128591110
13532708b
143511860
1523525b0
hex1825c5c

25320540 has 144 divisors (see below), whose sum is σ = 86026752. Its totient is φ = 5450112.

The previous prime is 25320481. The next prime is 25320553. The reversal of 25320540 is 4502352.

It is a super-2 number, since 2×253205402 = 1282259491783200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 151537 + ... + 151703.

It is an arithmetic number, because the mean of its divisors is an integer number (597408).

Almost surely, 225320540 is an apocalyptic number.

25320540 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 25320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013376).

25320540 is an abundant number, since it is smaller than the sum of its proper divisors (60706212).

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

25320540 is a wasteful number, since it uses less digits than its factorization.

25320540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 25320540 is about 5031.9519075603. The cubic root of 25320540 is about 293.6461567458.

Adding to 25320540 its reverse (4502352), we get a palindrome (29822892).

The spelling of 25320540 in words is "twenty-five million, three hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 167 190 210 228 266 285 334 361 380 399 420 501 532 570 665 668 722 798 835 1002 1083 1140 1169 1330 1444 1596 1670 1805 1995 2004 2166 2338 2505 2527 2660 3173 3340 3507 3610 3990 4332 4676 5010 5054 5415 5845 6346 7014 7220 7581 7980 9519 10020 10108 10830 11690 12635 12692 14028 15162 15865 17535 19038 21660 22211 23380 25270 30324 31730 35070 37905 38076 44422 47595 50540 60287 63460 66633 70140 75810 88844 95190 111055 120574 133266 151620 180861 190380 222110 241148 266532 301435 333165 361722 422009 444220 602870 666330 723444 844018 904305 1205740 1266027 1332660 1688036 1808610 2110045 2532054 3617220 4220090 5064108 6330135 8440180 12660270 25320540