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13104360 = 2332589409
BaseRepresentation
bin110001111111…
…010011101000
3220122202210200
4301333103220
511323314420
61144512200
7216246063
oct61772350
926582720
1013104360
117440555
12447b660
13293a879
141a518da
15123cb90
hexc7f4e8

13104360 has 96 divisors (see below), whose sum is σ = 43173000. Its totient is φ = 3446784.

The previous prime is 13104359. The next prime is 13104361. The reversal of 13104360 is 6340131.

It is an interprime number because it is at equal distance from previous prime (13104359) and next prime (13104361).

It can be written as a sum of positive squares in 4 ways, for example, as 11249316 + 1855044 = 3354^2 + 1362^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13104361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31836 + ... + 32244.

Almost surely, 213104360 is an apocalyptic number.

13104360 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 13104360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21586500).

13104360 is an abundant number, since it is smaller than the sum of its proper divisors (30068640).

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

13104360 is a wasteful number, since it uses less digits than its factorization.

13104360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13104360 is about 3619.9944751339. The cubic root of 13104360 is about 235.7609856311.

Adding to 13104360 its reverse (6340131), we get a palindrome (19444491).

The spelling of 13104360 in words is "thirteen million, one hundred four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 409 445 534 712 801 818 890 1068 1227 1335 1602 1636 1780 2045 2136 2454 2670 3204 3272 3560 3681 4005 4090 4908 5340 6135 6408 7362 8010 8180 9816 10680 12270 14724 16020 16360 18405 24540 29448 32040 36401 36810 49080 72802 73620 109203 145604 147240 182005 218406 291208 327609 364010 436812 546015 655218 728020 873624 1092030 1310436 1456040 1638045 2184060 2620872 3276090 4368120 6552180 13104360