Search a number
-
+
6029712 = 2432133221
BaseRepresentation
bin10111000000000110010000
3102100100012200
4113000012100
53020422322
6333123200
7102152223
oct27000620
912310180
106029712
113449237
122029500
1313316a0
14b2d5ba
157e18ac
hex5c0190

6029712 has 60 divisors (see below), whose sum is σ = 18178524. Its totient is φ = 1854720.

The previous prime is 6029689. The next prime is 6029719. The reversal of 6029712 is 2179206.

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 3326976 = 1644^2 + 1824^2 .

It is not an unprimeable number, because it can be changed into a prime (6029719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262 + ... + 3482.

Almost surely, 26029712 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 6029712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089262).

6029712 is an abundant number, since it is smaller than the sum of its proper divisors (12148812).

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

6029712 is a wasteful number, since it uses less digits than its factorization.

6029712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6029712 is about 2455.5471895282. The cubic root of 6029712 is about 182.0115115691.

The spelling of 6029712 in words is "six million, twenty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3221 6442 9663 12884 19326 25768 28989 38652 41873 51536 57978 77304 83746 115956 125619 154608 167492 231912 251238 334984 376857 463824 502476 669968 753714 1004952 1507428 2009904 3014856 6029712