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6001340 = 2251719929
BaseRepresentation
bin10110111001001010111100
3102021220021212
4112321022330
53014020330
6332343552
7102003422
oct26711274
912256255
106001340
113429994
122014bb8
1313217b7
14b23112
157d8295
hex5b92bc

6001340 has 48 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 2138112.

The previous prime is 6001339. The next prime is 6001343. The reversal of 6001340 is 431006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001343) 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 15 ways as a sum of consecutive naturals, for example, 5996 + ... + 6924.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 26001340 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 6001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

6001340 is an abundant number, since it is smaller than the sum of its proper divisors (8060260).

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

6001340 is a wasteful number, since it uses less digits than its factorization.

6001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6001340 is about 2449.7632538676. The cubic root of 6001340 is about 181.7255857296.

Adding to 6001340 its reverse (431006), we get a palindrome (6432346).

The spelling of 6001340 in words is "six million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 929 1292 1615 1858 3230 3716 4645 6460 9290 15793 17651 18580 31586 35302 63172 70604 78965 88255 157930 176510 300067 315860 353020 600134 1200268 1500335 3000670 6001340