Search a number
-
+
6501144 = 2331367311
BaseRepresentation
bin11000110011001100011000
3110020021220010
4120303030120
53131014034
6351201520
7106154526
oct30631430
913207803
106501144
113740451
1222162a0
131468140
14c13316
158863e9
hex633318

6501144 has 64 divisors (see below), whose sum is σ = 17821440. Its totient is φ = 1964160.

The previous prime is 6501113. The next prime is 6501149. The reversal of 6501144 is 4411056.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6501144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6501149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20749 + ... + 21059.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 26501144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6501144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

6501144 is an abundant number, since it is smaller than the sum of its proper divisors (11320296).

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

6501144 is a wasteful number, since it uses less digits than its factorization.

6501144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 6501144 is about 2549.7341037842. The cubic root of 6501144 is about 186.6365058980.

The spelling of 6501144 in words is "six million, five hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 311 312 402 536 622 804 871 933 1244 1608 1742 1866 2488 2613 3484 3732 4043 5226 6968 7464 8086 10452 12129 16172 20837 20904 24258 32344 41674 48516 62511 83348 97032 125022 166696 250044 270881 500088 541762 812643 1083524 1625286 2167048 3250572 6501144