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640512360 = 23345197689
BaseRepresentation
bin100110001011010…
…111000101101000
31122122020101210000
4212023113011220
52302432343420
6143320223000
721605156655
oct4613270550
91578211700
10640512360
112a9609464
1215a60aa60
13a29116c7
14610d0c2c
153b371690
hex262d7168

640512360 has 80 divisors (see below), whose sum is σ = 2152844100. Its totient is φ = 170802432.

The previous prime is 640512343. The next prime is 640512361. The reversal of 640512360 is 63215046.

640512360 is a `hidden beast` number, since 640 + 5 + 12 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 632321316 + 8191044 = 25146^2 + 2862^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (640512361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95605 + ... + 102084.

Almost surely, 2640512360 is an apocalyptic number.

640512360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640512360 is an abundant number, since it is smaller than the sum of its proper divisors (1512331740).

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

640512360 is a wasteful number, since it uses less digits than its factorization.

640512360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197712 (or 197699 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 640512360 is about 25308.3456590904. The cubic root of 640512360 is about 862.0037826217.

The spelling of 640512360 in words is "six hundred forty million, five hundred twelve thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 197689 395378 593067 790756 988445 1186134 1581512 1779201 1976890 2372268 2965335 3558402 3953780 4744536 5337603 5930670 7116804 7907560 8896005 10675206 11861340 14233608 16012809 17792010 21350412 23722680 26688015 32025618 35584020 42700824 53376030 64051236 71168040 80064045 106752060 128102472 160128090 213504120 320256180 640512360