Search a number
-
+
13168960 = 26575879
BaseRepresentation
bin110010001111…
…000101000000
3220210001102021
4302033011000
511332401320
61150131224
7216635320
oct62170500
926701367
1013168960
117485042
1244b0b14
1329610ac
141a6b280
151251daa
hexc8f140

13168960 has 56 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 4514304.

The previous prime is 13168943. The next prime is 13169021. The reversal of 13168960 is 6986131.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 5179.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 213168960 is an apocalyptic number.

13168960 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 13168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

13168960 is an abundant number, since it is smaller than the sum of its proper divisors (22675520).

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

13168960 is an equidigital number, since it uses as much as digits as its factorization.

13168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 13168960 is about 3628.9061712863. The cubic root of 13168960 is about 236.1477577054.

The spelling of 13168960 in words is "thirteen million, one hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5879 11758 23516 29395 41153 47032 58790 82306 94064 117580 164612 188128 205765 235160 329224 376256 411530 470320 658448 823060 940640 1316896 1646120 1881280 2633792 3292240 6584480 13168960