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6003040 = 255172207
BaseRepresentation
bin10110111001100101100000
3102021222121211
4112321211200
53014044130
6332355504
7102011401
oct26714540
912258554
106003040
11343019a
122015b94
1313224c4
14b239a8
157d8a2a
hex5b9960

6003040 has 48 divisors (see below), whose sum is σ = 15023232. Its totient is φ = 2258944.

The previous prime is 6003007. The next prime is 6003043. The reversal of 6003040 is 403006.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6003040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6003043) 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 7 ways as a sum of consecutive naturals, for example, 1617 + ... + 3823.

It is an arithmetic number, because the mean of its divisors is an integer number (312984).

Almost surely, 26003040 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 6003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511616).

6003040 is an abundant number, since it is smaller than the sum of its proper divisors (9020192).

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

6003040 is a wasteful number, since it uses less digits than its factorization.

6003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 6003040 is about 2450.1102016032. The cubic root of 6003040 is about 181.7427432494.

Adding to 6003040 its reverse (403006), we get a palindrome (6406046).

The spelling of 6003040 in words is "six million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2207 2720 4414 8828 11035 17656 22070 35312 37519 44140 70624 75038 88280 150076 176560 187595 300152 353120 375190 600304 750380 1200608 1500760 3001520 6003040