[go: up one dir, main page]

Search a number
-
+
6053130 = 23554753
BaseRepresentation
bin10111000101110100001010
3102101112100000
4113011310022
53022200010
6333423430
7102310416
oct27056412
912345300
106053130
113464896
12203ab76
13133c245
14b37d46
157e87c0
hex5c5d0a

6053130 has 96 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1550016.

The previous prime is 6053129. The next prime is 6053143. The reversal of 6053130 is 313506.

6053130 is a `hidden beast` number, since 605 + 31 + 30 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114184 + ... + 114236.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 26053130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6053130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

6053130 is an abundant number, since it is smaller than the sum of its proper divisors (10929654).

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

6053130 is a wasteful number, since it uses less digits than its factorization.

6053130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 6053130 is about 2460.3109559566. The cubic root of 6053130 is about 182.2468373175.

Adding to 6053130 its reverse (313506), we get a palindrome (6366636).

The spelling of 6053130 in words is "six million, fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 53 54 81 90 94 106 135 141 159 162 235 243 265 270 282 318 405 423 470 477 486 530 705 795 810 846 954 1215 1269 1410 1431 1590 2115 2385 2430 2491 2538 2862 3807 4230 4293 4770 4982 6345 7155 7473 7614 8586 11421 12455 12690 12879 14310 14946 19035 21465 22419 22842 24910 25758 37365 38070 42930 44838 57105 64395 67257 74730 112095 114210 128790 134514 201771 224190 336285 403542 605313 672570 1008855 1210626 2017710 3026565 6053130