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6042240 = 273251049
BaseRepresentation
bin10111000011001010000000
3102100222101200
4113003022000
53021322430
6333301200
7102233601
oct27031200
912328350
106042240
113457696
122034800
1313372b9
14b33da8
157e5460
hex5c3280

6042240 has 96 divisors (see below), whose sum is σ = 20884500. Its totient is φ = 1609728.

The previous prime is 6042229. The next prime is 6042263. The reversal of 6042240 is 422406.

6042240 is a `hidden beast` number, since 604 + 22 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 166464 = 2424^2 + 408^2 .

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

It is a super-3 number, since 3×60422403 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5236 + ... + 6284.

Almost surely, 26042240 is an apocalyptic number.

6042240 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 6042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442250).

6042240 is an abundant number, since it is smaller than the sum of its proper divisors (14842260).

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

6042240 is a wasteful number, since it uses less digits than its factorization.

6042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6042240 is about 2458.0968247813. The cubic root of 6042240 is about 182.1374801510.

Adding to 6042240 its reverse (422406), we get a palindrome (6464646).

The spelling of 6042240 in words is "six million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1049 1152 1440 1920 2098 2880 3147 4196 5245 5760 6294 8392 9441 10490 12588 15735 16784 18882 20980 25176 31470 33568 37764 41960 47205 50352 62940 67136 75528 83920 94410 100704 125880 134272 151056 167840 188820 201408 251760 302112 335680 377640 402816 503520 604224 671360 755280 1007040 1208448 1510560 2014080 3021120 6042240