[go: up one dir, main page]

Search a number
-
+
6084072 = 233441229
BaseRepresentation
bin10111001101010111101000
3102110002210000
4113031113220
53024142242
6334223000
7102466551
oct27152750
912402700
106084072
113486065
122054a60
131350357
14b45328
15802a4c
hex5cd5e8

6084072 has 80 divisors (see below), whose sum is σ = 17532900. Its totient is φ = 1969920.

The previous prime is 6084037. The next prime is 6084073. The reversal of 6084072 is 2704806.

It can be written as a sum of positive squares in 2 ways, for example, as 6081156 + 2916 = 2466^2 + 54^2 .

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 (6084073) 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 19 ways as a sum of consecutive naturals, for example, 26454 + ... + 26682.

Almost surely, 26084072 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 6084072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766450).

6084072 is an abundant number, since it is smaller than the sum of its proper divisors (11448828).

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

6084072 is a wasteful number, since it uses less digits than its factorization.

6084072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6084072 is about 2466.5911700158. The cubic root of 6084072 is about 182.5568422425.

Adding to 6084072 its reverse (2704806), we get a palindrome (8788878).

The spelling of 6084072 in words is "six million, eighty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 229 246 324 328 369 458 492 648 687 738 916 984 1107 1374 1476 1832 2061 2214 2748 2952 3321 4122 4428 5496 6183 6642 8244 8856 9389 12366 13284 16488 18549 18778 24732 26568 28167 37098 37556 49464 56334 74196 75112 84501 112668 148392 169002 225336 253503 338004 507006 676008 760509 1014012 1521018 2028024 3042036 6084072