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6059040 = 253513971
BaseRepresentation
bin10111000111010000100000
3102101211102220
4113013100200
53022342130
6333511040
7102333561
oct27072040
912354386
106059040
113469279
122042480
131341b40
14b3a168
157ea410
hex5c7420

6059040 has 96 divisors (see below), whose sum is σ = 20575296. Its totient is φ = 1489920.

The previous prime is 6059033. The next prime is 6059041. The reversal of 6059040 is 409506.

It is a tau number, because it is divible by the number of its divisors (96).

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 6059040.

It is not an unprimeable number, because it can be changed into a prime (6059041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5755 + ... + 6725.

It is an arithmetic number, because the mean of its divisors is an integer number (214326).

Almost surely, 26059040 is an apocalyptic number.

6059040 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 6059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287648).

6059040 is an abundant number, since it is smaller than the sum of its proper divisors (14516256).

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

6059040 is a wasteful number, since it uses less digits than its factorization.

6059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 6059040 is about 2461.5117306241. The cubic root of 6059040 is about 182.3061305240.

The spelling of 6059040 in words is "six million, fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 971 1040 1248 1560 1942 2080 2913 3120 3884 4855 5826 6240 7768 9710 11652 12623 14565 15536 19420 23304 25246 29130 31072 37869 38840 46608 50492 58260 63115 75738 77680 93216 100984 116520 126230 151476 155360 189345 201968 233040 252460 302952 378690 403936 466080 504920 605904 757380 1009840 1211808 1514760 2019680 3029520 6059040