Search a number
-
+
6128832 = 263137233
BaseRepresentation
bin10111011000010011000000
3102112101011210
4113120103000
53032110312
6335210120
7103044213
oct27302300
912471153
106128832
113506756
122076940
131367838
14b5777a
15810e3c
hex5d84c0

6128832 has 56 divisors (see below), whose sum is σ = 16404336. Its totient is φ = 2019328.

The previous prime is 6128821. The next prime is 6128851. The reversal of 6128832 is 2388216.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6128832.

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, 26188 + ... + 26420.

Almost surely, 26128832 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 6128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202168).

6128832 is an abundant number, since it is smaller than the sum of its proper divisors (10275504).

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

6128832 is a wasteful number, since it uses less digits than its factorization.

6128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 6128832 is about 2475.6477940127. The cubic root of 6128832 is about 183.0034338990.

The spelling of 6128832 in words is "six million, one hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 233 274 411 466 548 699 822 932 1096 1398 1644 1864 2192 2796 3288 3728 4384 5592 6576 7456 8768 11184 13152 14912 22368 26304 31921 44736 63842 95763 127684 191526 255368 383052 510736 766104 1021472 1532208 2042944 3064416 6128832