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6073840 = 245233301
BaseRepresentation
bin10111001010110111110000
3102102120202001
4113022313300
53023330330
6334103344
7102424663
oct27126760
912376661
106073840
113479403
12204ab54
1313487b6
14b416da
157ee9ca
hex5cadf0

6073840 has 40 divisors (see below), whose sum is σ = 14740128. Its totient is φ = 2323200.

The previous prime is 6073829. The next prime is 6073843. The reversal of 6073840 is 483706.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 6073799 and 6073808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6073843) 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 7 ways as a sum of consecutive naturals, for example, 190 + ... + 3490.

Almost surely, 26073840 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 6073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370064).

6073840 is an abundant number, since it is smaller than the sum of its proper divisors (8666288).

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

6073840 is a wasteful number, since it uses less digits than its factorization.

6073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6073840 is about 2464.5161796994. The cubic root of 6073840 is about 182.4544453760.

The spelling of 6073840 in words is "six million, seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 3301 6602 13204 16505 26408 33010 52816 66020 75923 132040 151846 264080 303692 379615 607384 759230 1214768 1518460 3036920 6073840