Search a number
-
+
13013055 = 3451123127
BaseRepresentation
bin110001101001…
…000000111111
3220111010120000
4301221000333
511312404210
61142525343
7215415636
oct61510077
926433500
1013013055
1173889a0
124436853
132908143
141a2a51d
151220ac0
hexc6903f

13013055 has 80 divisors (see below), whose sum is σ = 26763264. Its totient is φ = 5987520.

The previous prime is 13013027. The next prime is 13013057. The reversal of 13013055 is 55031031.

It is a happy number.

13013055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13013055 - 25 = 13013023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102402 + ... + 102528.

Almost surely, 213013055 is an apocalyptic number.

13013055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13013055 is an abundant number, since it is smaller than the sum of its proper divisors (13750209).

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

13013055 is a wasteful number, since it uses less digits than its factorization.

13013055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13013055 is about 3607.3612239420. The cubic root of 13013055 is about 235.2121518607.

Adding to 13013055 its reverse (55031031), we get a palindrome (68044086).

It can be divided in two parts, 1301 and 3055, that added together give a square (4356 = 662).

The spelling of 13013055 in words is "thirteen million, thirteen thousand, fifty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 127 135 165 207 253 297 345 381 405 495 621 635 759 891 1035 1143 1265 1397 1485 1863 1905 2277 2921 3105 3429 3795 4191 4455 5715 6831 6985 8763 9315 10287 11385 12573 14605 17145 20493 20955 26289 32131 34155 37719 43815 51435 62865 78867 96393 102465 113157 131445 160655 188595 236601 289179 394335 481965 565785 867537 1183005 1445895 2602611 4337685 13013055