Search a number
-
+
6076728 = 233374019
BaseRepresentation
bin10111001011100100111000
3102102201201000
4113023210320
53023423403
6334125000
7102436260
oct27134470
912381630
106076728
113480599
122050760
131349bc8
14b427a0
158007a3
hex5cb938

6076728 has 64 divisors (see below), whose sum is σ = 19296000. Its totient is φ = 1735776.

The previous prime is 6076709. The next prime is 6076753. The reversal of 6076728 is 8276706.

6076728 is digitally balanced in base 4, 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 (36) coincides with the sum of the digits of its prime factors.

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 = 6076692 and 6076701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (301500).

Almost surely, 26076728 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 6076728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648000).

6076728 is an abundant number, since it is smaller than the sum of its proper divisors (13219272).

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

6076728 is a wasteful number, since it uses less digits than its factorization.

6076728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6076728 is about 2465.1020262861. The cubic root of 6076728 is about 182.4833587128.

The spelling of 6076728 in words is "six million, seventy-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 4019 8038 12057 16076 24114 28133 32152 36171 48228 56266 72342 84399 96456 108513 112532 144684 168798 217026 225064 253197 289368 337596 434052 506394 675192 759591 868104 1012788 1519182 2025576 3038364 6076728