Search a number
-
+
13483360 = 2551147163
BaseRepresentation
bin110011011011…
…110101100000
3221101000200201
4303123311200
511422431420
61200554544
7222415042
oct63336540
927330621
1013483360
11767a280
124622a54
132a41227
141b0da92
1512b510a
hexcdbd60

13483360 has 96 divisors (see below), whose sum is σ = 35707392. Its totient is φ = 4769280.

The previous prime is 13483339. The next prime is 13483373. The reversal of 13483360 is 6338431.

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 15 ways as a sum of consecutive naturals, for example, 82639 + ... + 82801.

It is an arithmetic number, because the mean of its divisors is an integer number (371952).

Almost surely, 213483360 is an apocalyptic number.

13483360 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 13483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853696).

13483360 is an abundant number, since it is smaller than the sum of its proper divisors (22224032).

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

13483360 is a wasteful number, since it uses less digits than its factorization.

13483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13483360 is about 3671.9694987840. The cubic root of 13483360 is about 238.0122866335.

Subtracting from 13483360 its reverse (6338431), we obtain a square (7144929 = 26732).

The spelling of 13483360 in words is "thirteen million, four hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 163 176 188 220 235 326 352 376 440 470 517 652 752 815 880 940 1034 1304 1504 1630 1760 1793 1880 2068 2585 2608 3260 3586 3760 4136 5170 5216 6520 7172 7520 7661 8272 8965 10340 13040 14344 15322 16544 17930 20680 26080 28688 30644 35860 38305 41360 57376 61288 71720 76610 82720 84271 122576 143440 153220 168542 245152 286880 306440 337084 421355 612880 674168 842710 1225760 1348336 1685420 2696672 3370840 6741680 13483360