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13027500 = 223354193
BaseRepresentation
bin110001101100…
…100010101100
3220111212101000
4301230202230
511313340000
61143120300
7215506023
oct61544254
926455330
1013027500
117398832
124443090
1329118a5
141a318ba
151225000
hexc6c8ac

13027500 has 120 divisors (see below), whose sum is σ = 42423920. Its totient is φ = 3456000.

The previous prime is 13027493. The next prime is 13027501. The reversal of 13027500 is 572031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13027501) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 67404 + ... + 67596.

Almost surely, 213027500 is an apocalyptic number.

13027500 is a gapful number since it is divisible by the number (10) 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 13027500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21211960).

13027500 is an abundant number, since it is smaller than the sum of its proper divisors (29396420).

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

13027500 is a wasteful number, since it uses less digits than its factorization.

13027500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13027500 is about 3609.3628246548. The cubic root of 13027500 is about 235.2991512404.

Adding to 13027500 its reverse (572031), we get a palindrome (13599531).

The spelling of 13027500 in words is "thirteen million, twenty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 193 225 250 270 300 375 386 450 500 540 579 625 675 750 772 900 965 1125 1158 1250 1350 1500 1737 1875 1930 2250 2316 2500 2700 2895 3375 3474 3750 3860 4500 4825 5211 5625 5790 6750 6948 7500 8685 9650 10422 11250 11580 13500 14475 16875 17370 19300 20844 22500 24125 26055 28950 33750 34740 43425 48250 52110 57900 67500 72375 86850 96500 104220 120625 130275 144750 173700 217125 241250 260550 289500 361875 434250 482500 521100 651375 723750 868500 1085625 1302750 1447500 2171250 2605500 3256875 4342500 6513750 13027500