Search a number
-
+
6134084640 = 253451929859
BaseRepresentation
bin1011011011001111…
…01011010000100000
3120211111100210020000
411231213223100200
5100030311202030
62452402420000
7305002600455
oct55547532040
916744323200
106134084640
112668592642
121232361600
13769ab47a8
1442295382c
1525d7c1860
hex16d9eb420

6134084640 has 480 divisors, whose sum is σ = 23600808000. Its totient is φ = 1494484992.

The previous prime is 6134084603. The next prime is 6134084641. The reversal of 6134084640 is 464804316.

6134084640 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 0 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6134084595 and 6134084604.

It is not an unprimeable number, because it can be changed into a prime (6134084641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7140531 + ... + 7141389.

It is an arithmetic number, because the mean of its divisors is an integer number (49168350).

Almost surely, 26134084640 is an apocalyptic number.

6134084640 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 6134084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800404000).

6134084640 is an abundant number, since it is smaller than the sum of its proper divisors (17466723360).

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

6134084640 is a wasteful number, since it uses less digits than its factorization.

6134084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6134084640 is about 78320.3973432209. The cubic root of 6134084640 is about 1830.5569925056.

Adding to 6134084640 its reverse (464804316), we get a palindrome (6598888956).

The spelling of 6134084640 in words is "six billion, one hundred thirty-four million, eighty-four thousand, six hundred forty".