Search a number
-
+
13263360 = 293511157
BaseRepresentation
bin110010100110…
…001000000000
3220221211220120
4302212020000
511343411420
61152140240
7220510455
oct62461000
926854816
1013263360
117539a60
124537680
132995056
141a9382c
15126ed40
hexca6200

13263360 has 160 divisors (see below), whose sum is σ = 46550592. Its totient is φ = 3194880.

The previous prime is 13263359. The next prime is 13263379. The reversal of 13263360 is 6336231.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13263360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84402 + ... + 84558.

Almost surely, 213263360 is an apocalyptic number.

13263360 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 13263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275296).

13263360 is an abundant number, since it is smaller than the sum of its proper divisors (33287232).

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

13263360 is a wasteful number, since it uses less digits than its factorization.

13263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 13263360 is about 3641.8896194146. The cubic root of 13263360 is about 236.7106797290.

Adding to 13263360 its reverse (6336231), we get a palindrome (19599591).

The spelling of 13263360 in words is "thirteen million, two hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 157 160 165 176 192 220 240 256 264 314 320 330 352 384 440 471 480 512 528 628 640 660 704 768 785 880 942 960 1056 1256 1280 1320 1408 1536 1570 1727 1760 1884 1920 2112 2355 2512 2560 2640 2816 3140 3454 3520 3768 3840 4224 4710 5024 5181 5280 5632 6280 6908 7040 7536 7680 8448 8635 9420 10048 10362 10560 12560 13816 14080 15072 16896 17270 18840 20096 20724 21120 25120 25905 27632 28160 30144 34540 37680 40192 41448 42240 50240 51810 55264 60288 69080 75360 80384 82896 84480 100480 103620 110528 120576 138160 150720 165792 200960 207240 221056 241152 276320 301440 331584 401920 414480 442112 552640 602880 663168 828960 884224 1105280 1205760 1326336 1657920 2210560 2652672 3315840 4421120 6631680 13263360