Search a number
-
+
6135130540 = 2257115375167
BaseRepresentation
bin1011011011010111…
…01010100110101100
3120211120022220221001
411231223222212230
5100031043134130
62452441050044
7305014514650
oct55553524654
916746286831
106135130540
112669137420
121232786924
1376a08c876
14422b46a60
1525d92b6ca
hex16daea9ac

6135130540 has 96 divisors (see below), whose sum is σ = 16366178304. Its totient is φ = 1876143360.

The previous prime is 6135130537. The next prime is 6135130541. The reversal of 6135130540 is 450315316.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 6135130499 and 6135130508.

It is not an unprimeable number, because it can be changed into a prime (6135130541) 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, 44037 + ... + 119203.

It is an arithmetic number, because the mean of its divisors is an integer number (170481024).

Almost surely, 26135130540 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 6135130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183089152).

6135130540 is an abundant number, since it is smaller than the sum of its proper divisors (10231047764).

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

6135130540 is a wasteful number, since it uses less digits than its factorization.

6135130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75247 (or 75245 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 6135130540 is about 78327.0741187235. The cubic root of 6135130540 is about 1830.6610270853.

Adding to 6135130540 its reverse (450315316), we get a palindrome (6585445856).

The spelling of 6135130540 in words is "six billion, one hundred thirty-five million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 265 308 371 385 530 583 742 770 1060 1166 1484 1540 1855 2332 2915 3710 4081 5830 7420 8162 11660 16324 20405 40810 75167 81620 150334 300668 375835 526169 751670 826837 1052338 1503340 1653674 2104676 2630845 3307348 3983851 4134185 5261690 5787859 7967702 8268370 10523380 11575718 15935404 16536740 19919255 23151436 27886957 28939295 39838510 43822361 55773914 57878590 79677020 87644722 111547828 115757180 139434785 175289444 219111805 278869570 306756527 438223610 557739140 613513054 876447220 1227026108 1533782635 3067565270 6135130540