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6134144 = 27172819
BaseRepresentation
bin10111011001100110000000
3102112122110112
4113121212000
53032243034
6335250452
7103065542
oct27314600
912478415
106134144
11350a745
122079a28
13136a093
14b59692
158127ce
hex5d9980

6134144 has 32 divisors (see below), whose sum is σ = 12943800. Its totient is φ = 2885632.

The previous prime is 6134143. The next prime is 6134153. The reversal of 6134144 is 4414316.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×61341442 = 75255445225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6134143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 767 + ... + 3585.

Almost surely, 26134144 is an apocalyptic number.

6134144 is a gapful number since it is divisible by the number (64) 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 6134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471900).

6134144 is an abundant number, since it is smaller than the sum of its proper divisors (6809656).

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

6134144 is a wasteful number, since it uses less digits than its factorization.

6134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2838 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 6134144 is about 2476.7204121580. The cubic root of 6134144 is about 183.0562897299.

The spelling of 6134144 in words is "six million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2819 5638 11276 22552 45104 47923 90208 95846 180416 191692 360832 383384 766768 1533536 3067072 6134144