Search a number
-
+
6504138 = 2371487
BaseRepresentation
bin11000110011111011001010
3110020110000000
4120303323022
53131113023
6351223430
7106166334
oct30637312
913213000
106504138
113742723
122217b76
131469604
14c14454
15887243
hex633eca

6504138 has 32 divisors (see below), whose sum is σ = 14641920. Its totient is φ = 2166588.

The previous prime is 6504133. The next prime is 6504143. The reversal of 6504138 is 8314056.

6504138 is a `hidden beast` number, since 650 + 4 + 1 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6504133) and next prime (6504143).

It is a super-2 number, since 2×65041382 = 84607622246088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6504131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3631 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (457560).

Almost surely, 26504138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6504138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320960).

6504138 is an abundant number, since it is smaller than the sum of its proper divisors (8137782).

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

6504138 is an equidigital number, since it uses as much as digits as its factorization.

6504138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6504138 is about 2550.3211562468. The cubic root of 6504138 is about 186.6651523403.

The spelling of 6504138 in words is "six million, five hundred four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1487 2187 2974 4374 4461 8922 13383 26766 40149 80298 120447 240894 361341 722682 1084023 2168046 3252069 6504138