Search a number
-
+
13358160 = 2432518553
BaseRepresentation
bin110010111101…
…010001010000
3221010122221200
4302331101100
511404430120
61154151200
7221354034
oct62752120
927118850
1013358160
1175a4202
124582500
1329c924a
141aba1c4
15128ce90
hexcbd450

13358160 has 60 divisors (see below), whose sum is σ = 44863572. Its totient is φ = 3561984.

The previous prime is 13358129. The next prime is 13358227. The reversal of 13358160 is 6185331.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 10810944 = 1596^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8557 + ... + 9996.

Almost surely, 213358160 is an apocalyptic number.

13358160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13358160 is an abundant number, since it is smaller than the sum of its proper divisors (31505412).

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

13358160 is a wasteful number, since it uses less digits than its factorization.

13358160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18572 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13358160 is about 3654.8816670311. The cubic root of 13358160 is about 237.2733053870.

The spelling of 13358160 in words is "thirteen million, three hundred fifty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18553 37106 55659 74212 92765 111318 148424 166977 185530 222636 278295 296848 333954 371060 445272 556590 667908 742120 834885 890544 1113180 1335816 1484240 1669770 2226360 2671632 3339540 4452720 6679080 13358160