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6042840 = 2335371361
BaseRepresentation
bin10111000011010011011000
3102101000012220
4113003103120
53021332330
6333304040
7102235416
oct27032330
912330186
106042840
113458091
122035020
13133765b
14b342b6
157e5710
hex5c34d8

6042840 has 64 divisors (see below), whose sum is σ = 18632160. Its totient is φ = 1566720.

The previous prime is 6042823. The next prime is 6042847. The reversal of 6042840 is 482406.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6042840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042847) 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, 3760 + ... + 5120.

Almost surely, 26042840 is an apocalyptic number.

6042840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316080).

6042840 is an abundant number, since it is smaller than the sum of its proper divisors (12589320).

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

6042840 is a wasteful number, since it uses less digits than its factorization.

6042840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6042840 is about 2458.2188673916. The cubic root of 6042840 is about 182.1435087580.

The spelling of 6042840 in words is "six million, forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1361 1480 2220 2722 4083 4440 5444 6805 8166 10888 13610 16332 20415 27220 32664 40830 50357 54440 81660 100714 151071 163320 201428 251785 302142 402856 503570 604284 755355 1007140 1208568 1510710 2014280 3021420 6042840