Search a number
-
+
13005162 = 232722509
BaseRepresentation
bin110001100111…
…000101101010
3220110201201200
4301213011222
511312131122
61142425030
7215353632
oct61470552
926421650
1013005162
117382a75
124432176
132904681
141a276c2
15121d5ac
hexc6716a

13005162 has 12 divisors (see below), whose sum is σ = 28177890. Its totient is φ = 4335048.

The previous prime is 13005133. The next prime is 13005173. The reversal of 13005162 is 26150031.

13005162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6548481 + 6456681 = 2559^2 + 2541^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 722509 = 13005162 / (1 + 3 + 0 + 0 + 5 + 1 + 6 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361237 + ... + 361272.

Almost surely, 213005162 is an apocalyptic number.

13005162 is an abundant number, since it is smaller than the sum of its proper divisors (15172728).

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

13005162 is a wasteful number, since it uses less digits than its factorization.

13005162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722517 (or 722514 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13005162 is about 3606.2670450204. The cubic root of 13005162 is about 235.1645866785.

Adding to 13005162 its reverse (26150031), we get a palindrome (39155193).

The spelling of 13005162 in words is "thirteen million, five thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 722509 1445018 2167527 4335054 6502581 13005162