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13253460 = 22351143467
BaseRepresentation
bin110010100011…
…101101010100
3220221100022220
4302203231110
511343102320
61152022340
7220436553
oct62435524
926840286
1013253460
117532580
1245319b0
1329906ac
141a8dd9a
15126be40
hexca3b54

13253460 has 96 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 3131520.

The previous prime is 13253459. The next prime is 13253467. The reversal of 13253460 is 6435231.

It is a happy number.

13253460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13253460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28147 + ... + 28613.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 213253460 is an apocalyptic number.

13253460 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 13253460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

13253460 is an abundant number, since it is smaller than the sum of its proper divisors (28260012).

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

13253460 is a wasteful number, since it uses less digits than its factorization.

13253460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13253460 is about 3640.5301811687. The cubic root of 13253460 is about 236.6517700955.

Adding to 13253460 its reverse (6435231), we get a palindrome (19688691).

The spelling of 13253460 in words is "thirteen million, two hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 467 473 516 645 660 860 934 946 1290 1401 1419 1868 1892 2335 2365 2580 2802 2838 4670 4730 5137 5604 5676 7005 7095 9340 9460 10274 14010 14190 15411 20081 20548 25685 28020 28380 30822 40162 51370 60243 61644 77055 80324 100405 102740 120486 154110 200810 220891 240972 301215 308220 401620 441782 602430 662673 883564 1104455 1204860 1325346 2208910 2650692 3313365 4417820 6626730 13253460