Search a number
-
+
6019824 = 243831511
BaseRepresentation
bin10110111101101011110000
3102022211122110
4112331223300
53020113244
6333005320
7102111336
oct26755360
912284573
106019824
113441868
122023840
13132a035
14b29b56
157dd9b9
hex5bdaf0

6019824 has 40 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1981120.

The previous prime is 6019823. The next prime is 6019837. The reversal of 6019824 is 4289106.

6019824 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6019791 and 6019800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6019823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3229 + ... + 4739.

Almost surely, 26019824 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 6019824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

6019824 is an abundant number, since it is smaller than the sum of its proper divisors (9729168).

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

6019824 is a wasteful number, since it uses less digits than its factorization.

6019824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6019824 is about 2453.5329628925. The cubic root of 6019824 is about 181.9119648299.

The spelling of 6019824 in words is "six million, nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1511 1992 3022 3984 4533 6044 9066 12088 18132 24176 36264 72528 125413 250826 376239 501652 752478 1003304 1504956 2006608 3009912 6019824