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6139728 = 243276091
BaseRepresentation
bin10111011010111101010000
3102112221010100
4113122331100
53032432403
6335332400
7103121040
oct27327520
912487110
106139728
113513961
122081100
13136c79a
14b5b720
158142a3
hex5daf50

6139728 has 60 divisors (see below), whose sum is σ = 19640608. Its totient is φ = 1753920.

The previous prime is 6139723. The next prime is 6139733. The reversal of 6139728 is 8279316.

It is an interprime number because it is at equal distance from previous prime (6139723) and next prime (6139733).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 6139692 and 6139701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6139723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2038 + ... + 4053.

Almost surely, 26139728 is an apocalyptic number.

It is an amenable number.

6139728 is an abundant number, since it is smaller than the sum of its proper divisors (13500880).

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

6139728 is a wasteful number, since it uses less digits than its factorization.

6139728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6103 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6139728 is about 2477.8474529317. The cubic root of 6139728 is about 183.1118191463. Note that the first 3 decimals are identical.

It can be divided in two parts, 61397 and 28, that added together give a triangular number (61425 = T350).

The spelling of 6139728 in words is "six million, one hundred thirty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 6091 12182 18273 24364 36546 42637 48728 54819 73092 85274 97456 109638 127911 146184 170548 219276 255822 292368 341096 383733 438552 511644 682192 767466 877104 1023288 1534932 2046576 3069864 6139728