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6241680 = 243258669
BaseRepresentation
bin10111110011110110010000
3102202002222100
4113303312100
53044213210
6341440400
7104024214
oct27636620
912662870
106241680
113583515
122110100
1313a7003
14b86944
158345c0
hex5f3d90

6241680 has 60 divisors (see below), whose sum is σ = 20964060. Its totient is φ = 1664256.

The previous prime is 6241679. The next prime is 6241687. The reversal of 6241680 is 861426.

6241680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 3732624 = 1584^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (6241687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3615 + ... + 5054.

It is an arithmetic number, because the mean of its divisors is an integer number (349401).

Almost surely, 26241680 is an apocalyptic number.

6241680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6241680 is an abundant number, since it is smaller than the sum of its proper divisors (14722380).

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

6241680 is a wasteful number, since it uses less digits than its factorization.

6241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6241680 is about 2498.3354458519. The cubic root of 6241680 is about 184.1198022572.

It can be divided in two parts, 624 and 1680, that added together give a square (2304 = 482).

The spelling of 6241680 in words is "six million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 8669 17338 26007 34676 43345 52014 69352 78021 86690 104028 130035 138704 156042 173380 208056 260070 312084 346760 390105 416112 520140 624168 693520 780210 1040280 1248336 1560420 2080560 3120840 6241680