Search a number
-
+
6134305504 = 252918713533
BaseRepresentation
bin1011011011010001…
…00001001011100000
3120211111210000012011
411231220201023200
5100030340234004
62452411242304
7305004510415
oct55550411340
916744700164
106134305504
112668723578
121232449394
13769b61192
144229b010c
1525d817004
hex16da212e0

6134305504 has 48 divisors (see below), whose sum is σ = 12503574720. Its totient is φ = 2958968320.

The previous prime is 6134305493. The next prime is 6134305603. The reversal of 6134305504 is 4055034316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1734522 + ... + 1738054.

It is an arithmetic number, because the mean of its divisors is an integer number (260491140).

Almost surely, 26134305504 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 6134305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251787360).

6134305504 is an abundant number, since it is smaller than the sum of its proper divisors (6369269216).

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

6134305504 is a wasteful number, since it uses less digits than its factorization.

6134305504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 6134305504 is about 78321.8073335900. The cubic root of 6134305504 is about 1830.5789626017.

The spelling of 6134305504 in words is "six billion, one hundred thirty-four million, three hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1871 3533 3742 7066 7484 14132 14968 28264 29936 54259 56528 59872 102457 108518 113056 204914 217036 409828 434072 819656 868144 1639312 1736288 3278624 6610243 13220486 26440972 52881944 105763888 191697047 211527776 383394094 766788188 1533576376 3067152752 6134305504