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13217340 = 22354347109
BaseRepresentation
bin110010011010…
…111000111100
3220212111210010
4302122320330
511340423330
61151143220
7220226343
oct62327074
926774703
1013217340
117508424
124514b10
13297a116
141a80b5a
1512613b0
hexc9ae3c

13217340 has 96 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3338496.

The previous prime is 13217329. The next prime is 13217363. The reversal of 13217340 is 4371231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121206 + ... + 121314.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 213217340 is an apocalyptic number.

13217340 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 13217340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

13217340 is an abundant number, since it is smaller than the sum of its proper divisors (25812420).

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

13217340 is a wasteful number, since it uses less digits than its factorization.

13217340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13217340 is about 3635.5659806968. The cubic root of 13217340 is about 236.4365900858.

Adding to 13217340 its reverse (4371231), we get a palindrome (17588571).

The spelling of 13217340 in words is "thirteen million, two hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 109 129 141 172 188 215 218 235 258 282 327 430 436 470 516 545 564 645 654 705 860 940 1090 1290 1308 1410 1635 2021 2180 2580 2820 3270 4042 4687 5123 6063 6540 8084 9374 10105 10246 12126 14061 15369 18748 20210 20492 23435 24252 25615 28122 30315 30738 40420 46870 51230 56244 60630 61476 70305 76845 93740 102460 121260 140610 153690 220289 281220 307380 440578 660867 881156 1101445 1321734 2202890 2643468 3304335 4405780 6608670 13217340