Search a number
-
+
13004154 = 23223101311
BaseRepresentation
bin110001100110…
…110101111010
3220110200100100
4301212311322
511312113104
61142420230
7215350662
oct61466572
926420310
1013004154
117382239
124431676
132904087
141a271a2
15121d139
hexc66d7a

13004154 has 48 divisors (see below), whose sum is σ = 29787264. Its totient is φ = 4092000.

The previous prime is 13004143. The next prime is 13004161. The reversal of 13004154 is 45140031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41659 + ... + 41969.

It is an arithmetic number, because the mean of its divisors is an integer number (620568).

Almost surely, 213004154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893632).

13004154 is an abundant number, since it is smaller than the sum of its proper divisors (16783110).

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

13004154 is a wasteful number, since it uses less digits than its factorization.

13004154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13004154 is about 3606.1272856071. The cubic root of 13004154 is about 235.1585108339.

Adding to 13004154 its reverse (45140031), we get a palindrome (58144185).

The spelling of 13004154 in words is "thirteen million, four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 311 414 606 622 909 933 1818 1866 2323 2799 4646 5598 6969 7153 13938 14306 20907 21459 31411 41814 42918 62822 64377 94233 128754 188466 282699 565398 722453 1444906 2167359 4334718 6502077 13004154