Search a number
-
+
6134103540 = 2233517668203
BaseRepresentation
bin1011011011001111…
…01111110111110100
3120211111101202011000
411231213233313310
5100030312303130
62452403043300
7305003006535
oct55547576764
916744352130
106134103540
1126685a5864
121232370530
13769ac0286
1442295a68c
1525d7c7260
hex16d9efdf4

6134103540 has 96 divisors (see below), whose sum is σ = 20206488960. Its totient is φ = 1539537408.

The previous prime is 6134103533. The next prime is 6134103581. The reversal of 6134103540 is 453014316.

6134103540 is a `hidden beast` number, since 6 + 13 + 4 + 103 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324922 + ... + 343281.

It is an arithmetic number, because the mean of its divisors is an integer number (210484260).

Almost surely, 26134103540 is an apocalyptic number.

6134103540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6134103540 is an abundant number, since it is smaller than the sum of its proper divisors (14072385420).

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

6134103540 is a wasteful number, since it uses less digits than its factorization.

6134103540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668238 (or 668230 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6134103540 is about 78320.5180013513. The cubic root of 6134103540 is about 1830.5588725738.

Adding to 6134103540 its reverse (453014316), we get a palindrome (6587117856).

The spelling of 6134103540 in words is "six billion, one hundred thirty-four million, one hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 668203 1336406 2004609 2672812 3341015 4009218 6013827 6682030 8018436 10023045 11359451 12027654 13364060 18041481 20046090 22718902 24055308 30069135 34078353 36082962 40092180 45437804 56797255 60138270 68156706 72165924 90207405 102235059 113594510 120276540 136313412 170391765 180414810 204470118 227189020 306705177 340783530 360829620 408940236 511175295 613410354 681567060 1022350590 1226820708 1533525885 2044701180 3067051770 6134103540