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13025740 = 22571317421
BaseRepresentation
bin110001101100…
…000111001100
3220111202221211
4301230013030
511313310430
61143104204
7215500630
oct61540714
926452854
1013025740
117397482
124442064
132910b50
141a30dc0
15122472a
hexc6c1cc

13025740 has 96 divisors (see below), whose sum is σ = 35731584. Its totient is φ = 3870720.

The previous prime is 13025737. The next prime is 13025743. The reversal of 13025740 is 4752031.

It is an interprime number because it is at equal distance from previous prime (13025737) and next prime (13025743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13025743) 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 31 ways as a sum of consecutive naturals, for example, 30730 + ... + 31150.

It is an arithmetic number, because the mean of its divisors is an integer number (372204).

Almost surely, 213025740 is an apocalyptic number.

13025740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13025740 is the 2947-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13025740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865792).

13025740 is an abundant number, since it is smaller than the sum of its proper divisors (22705844).

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

13025740 is a wasteful number, since it uses less digits than its factorization.

13025740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 13025740 is about 3609.1190060734. The cubic root of 13025740 is about 235.2885545498.

Adding to 13025740 its reverse (4752031), we get a palindrome (17777771).

The spelling of 13025740 in words is "thirteen million, twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 421 442 455 476 595 842 884 910 1105 1190 1547 1684 1820 2105 2210 2380 2947 3094 4210 4420 5473 5894 6188 7157 7735 8420 10946 11788 14314 14735 15470 21892 27365 28628 29470 30940 35785 38311 50099 54730 58940 71570 76622 93041 100198 109460 143140 153244 186082 191555 200396 250495 372164 383110 465205 500990 651287 766220 930410 1001980 1302574 1860820 2605148 3256435 6512870 13025740