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13144410 = 233589547
BaseRepresentation
bin110010001001…
…000101011010
3220201210202000
4302021011122
511331110120
61145421430
7216503616
oct62110532
926653660
1013144410
117468654
12449a876
132952b76
141a62346
151249990
hexc8915a

13144410 has 64 divisors (see below), whose sum is σ = 35510400. Its totient is φ = 3459456.

The previous prime is 13144393. The next prime is 13144423. The reversal of 13144410 is 1444131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23757 + ... + 24303.

It is an arithmetic number, because the mean of its divisors is an integer number (554850).

Almost surely, 213144410 is an apocalyptic number.

13144410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755200).

13144410 is an abundant number, since it is smaller than the sum of its proper divisors (22365990).

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

13144410 is a wasteful number, since it uses less digits than its factorization.

13144410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13144410 is about 3625.5220313770. The cubic root of 13144410 is about 236.0009216664. Note that the first 3 decimals are identical.

Adding to 13144410 its reverse (1444131), we get a palindrome (14588541).

The spelling of 13144410 in words is "thirteen million, one hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 178 267 270 445 534 547 801 890 1094 1335 1602 1641 2403 2670 2735 3282 4005 4806 4923 5470 8010 8205 9846 12015 14769 16410 24030 24615 29538 48683 49230 73845 97366 146049 147690 243415 292098 438147 486830 730245 876294 1314441 1460490 2190735 2628882 4381470 6572205 13144410