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13245360 = 2435229241
BaseRepresentation
bin110010100001…
…101110110000
3220220221012220
4302201232300
511342322420
61151521040
7220404132
oct62415660
926827186
1013245360
117527487
124529180
132989abb
141a8b052
151269840
hexca1bb0

13245360 has 80 divisors (see below), whose sum is σ = 41411040. Its totient is φ = 3502080.

The previous prime is 13245359. The next prime is 13245361. The reversal of 13245360 is 6354231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13245359) and next prime (13245361).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13245360.

It is not an unprimeable number, because it can be changed into a prime (13245361) 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 15 ways as a sum of consecutive naturals, for example, 54840 + ... + 55080.

It is an arithmetic number, because the mean of its divisors is an integer number (517638).

Almost surely, 213245360 is an apocalyptic number.

13245360 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 13245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705520).

13245360 is an abundant number, since it is smaller than the sum of its proper divisors (28165680).

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

13245360 is a wasteful number, since it uses less digits than its factorization.

13245360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

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

The square root of 13245360 is about 3639.4175358153. The cubic root of 13245360 is about 236.6035494804.

Adding to 13245360 its reverse (6354231), we get a palindrome (19599591).

The spelling of 13245360 in words is "thirteen million, two hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 241 458 482 687 723 916 964 1145 1205 1374 1446 1832 1928 2290 2410 2748 2892 3435 3615 3664 3856 4580 4820 5496 5784 6870 7230 9160 9640 10992 11568 13740 14460 18320 19280 27480 28920 54960 55189 57840 110378 165567 220756 275945 331134 441512 551890 662268 827835 883024 1103780 1324536 1655670 2207560 2649072 3311340 4415120 6622680 13245360