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6042072 = 2331759251
BaseRepresentation
bin10111000011000111011000
3102100222011110
4113003013120
53021321242
6333300320
7102233241
oct27030730
912328143
106042072
113457553
1220346a0
1313371ba
14b33cc8
157e539c
hex5c31d8

6042072 has 64 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1856000.

The previous prime is 6042061. The next prime is 6042079. The reversal of 6042072 is 2702406.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23947 + ... + 24197.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 26042072 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 6042072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

6042072 is an abundant number, since it is smaller than the sum of its proper divisors (10287528).

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

6042072 is a wasteful number, since it uses less digits than its factorization.

6042072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6042072 is about 2458.0626517646. The cubic root of 6042072 is about 182.1357920696.

Adding to 6042072 its reverse (2702406), we get a palindrome (8744478).

The spelling of 6042072 in words is "six million, forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 251 354 408 472 502 708 753 1003 1004 1416 1506 2006 2008 3009 3012 4012 4267 6018 6024 8024 8534 12036 12801 14809 17068 24072 25602 29618 34136 44427 51204 59236 88854 102408 118472 177708 251753 355416 503506 755259 1007012 1510518 2014024 3021036 6042072