Search a number
-
+
6053410140 = 2235435993917
BaseRepresentation
bin1011010001100111…
…11011010101011100
3120121212120002121120
411220303323111130
544344133111030
62440401330540
7303003065031
oct55063732534
916555502546
106053410140
112626aa06a8
12120b336a50
137561793bb
14415d53388
15256688010
hex168cfb55c

6053410140 has 96 divisors (see below), whose sum is σ = 17377113600. Its totient is φ = 1573668096.

The previous prime is 6053410117. The next prime is 6053410141. The reversal of 6053410140 is 410143506.

It is a self number, because there is not a number n which added to its sum of digits gives 6053410140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6053410141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543462 + ... + 1547378.

It is an arithmetic number, because the mean of its divisors is an integer number (181011600).

Almost surely, 26053410140 is an apocalyptic number.

6053410140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6053410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8688556800).

6053410140 is an abundant number, since it is smaller than the sum of its proper divisors (11323703460).

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

6053410140 is a wasteful number, since it uses less digits than its factorization.

6053410140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6053410140 is about 77803.6640525368. The cubic root of 6053410140 is about 1822.4964874679.

Adding to 6053410140 its reverse (410143506), we get a palindrome (6463553646).

The spelling of 6053410140 in words is "six billion, fifty-three million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 599 645 860 1198 1290 1797 2396 2580 2995 3594 3917 5990 7188 7834 8985 11751 11980 15668 17970 19585 23502 25757 35940 39170 47004 51514 58755 77271 78340 103028 117510 128785 154542 168431 235020 257570 309084 336862 386355 505293 515140 673724 772710 842155 1010586 1545420 1684310 2021172 2346283 2526465 3368620 4692566 5052930 7038849 9385132 10105860 11731415 14077698 23462830 28155396 35194245 46925660 70388490 100890169 140776980 201780338 302670507 403560676 504450845 605341014 1008901690 1210682028 1513352535 2017803380 3026705070 6053410140