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606240 = 25325421
BaseRepresentation
bin10010100000000100000
31010210121100
42110000200
5123344430
620554400
75103315
oct2240040
91123540
10606240
11384528
12252a00
13182c2b
1411ad0c
15be960
hex94020

606240 has 72 divisors (see below), whose sum is σ = 2073708. Its totient is φ = 161280.

The previous prime is 606223. The next prime is 606241. The reversal of 606240 is 42606.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 104976 = 708^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (606241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230 + ... + 1650.

2606240 is an apocalyptic number.

606240 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 606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036854).

606240 is an abundant number, since it is smaller than the sum of its proper divisors (1467468).

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

606240 is a wasteful number, since it uses less digits than its factorization.

606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 606240 is about 778.6141534804. The cubic root of 606240 is about 84.6346487183.

Adding to 606240 its reverse (42606), we get a palindrome (648846).

The spelling of 606240 in words is "six hundred six 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 72 80 90 96 120 144 160 180 240 288 360 421 480 720 842 1263 1440 1684 2105 2526 3368 3789 4210 5052 6315 6736 7578 8420 10104 12630 13472 15156 16840 18945 20208 25260 30312 33680 37890 40416 50520 60624 67360 75780 101040 121248 151560 202080 303120 606240