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5640467220 = 2232537846917
BaseRepresentation
bin1010100000011001…
…01011001100010100
3112120002112102102100
411100030223030110
543022424422340
62331410442100
7256530115563
oct52014531424
915502472370
105640467220
112434995563
121114b93330
136bb75588b
143b717dbda
152302b9830
hex15032b314

5640467220 has 72 divisors (see below), whose sum is σ = 17571854664. Its totient is φ = 1463470848.

The previous prime is 5640467219. The next prime is 5640467221. The reversal of 5640467220 is 227640465.

5640467220 is a `hidden beast` number, since 5 + 640 + 4 + 6 + 7 + 2 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5640467219) and next prime (5640467221).

It can be written as a sum of positive squares in 4 ways, for example, as 2059162884 + 3581304336 = 45378^2 + 59844^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640467221) 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 23 ways as a sum of consecutive naturals, for example, 416799 + ... + 430118.

It is an arithmetic number, because the mean of its divisors is an integer number (244053537).

Almost surely, 25640467220 is an apocalyptic number.

It is an amenable number.

5640467220 is an abundant number, since it is smaller than the sum of its proper divisors (11931387444).

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

5640467220 is a wasteful number, since it uses less digits than its factorization.

5640467220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846969 (or 846964 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5640467220 is about 75103.0440128761. The cubic root of 5640467220 is about 1780.0752419484.

The spelling of 5640467220 in words is "five billion, six hundred forty million, four hundred sixty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 846917 1693834 2540751 3387668 4234585 5081502 7622253 8469170 10163004 12703755 15244506 16938340 25407510 30489012 31335929 38111265 50815020 62671858 76222530 94007787 125343716 152445060 156679645 188015574 282023361 313359290 376031148 470038935 564046722 626718580 940077870 1128093444 1410116805 1880155740 2820233610 5640467220