Search a number
-
+
6011440 = 245163461
BaseRepresentation
bin10110111011101000110000
3102022102010221
4112323220300
53014331230
6332502424
7102045031
oct26735060
912272127
106011440
113436536
12201aa14
131326286
14b26a88
157db27a
hex5bba30

6011440 has 40 divisors (see below), whose sum is σ = 14092848. Its totient is φ = 2384640.

The previous prime is 6011417. The next prime is 6011449. The reversal of 6011440 is 441106.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×60114402 = 72274821747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6011449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12810 + ... + 13270.

Almost surely, 26011440 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 6011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046424).

6011440 is an abundant number, since it is smaller than the sum of its proper divisors (8081408).

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

6011440 is a wasteful number, since it uses less digits than its factorization.

6011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6011440 is about 2451.8238109620. The cubic root of 6011440 is about 181.8274740705.

Adding to 6011440 its reverse (441106), we get a palindrome (6452546).

The spelling of 6011440 in words is "six million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 461 652 815 922 1304 1630 1844 2305 2608 3260 3688 4610 6520 7376 9220 13040 18440 36880 75143 150286 300572 375715 601144 751430 1202288 1502860 3005720 6011440