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564830640 = 243251171317
BaseRepresentation
bin100001101010101…
…010000110110000
31110100211100222100
4201222222012300
52124044040030
6132014140400
716665660363
oct4152520660
91410740870
10564830640
1126a917690
121391b1700
1390033a1a
14550300da
15348c2360
hex21aaa1b0

564830640 has 120 divisors (see below), whose sum is σ = 2069363088. Its totient is φ = 136926720.

The previous prime is 564830639. The next prime is 564830653. The reversal of 564830640 is 46038465.

564830640 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 564830595 and 564830604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27739 + ... + 43578.

Almost surely, 2564830640 is an apocalyptic number.

It is an amenable number.

564830640 is an abundant number, since it is smaller than the sum of its proper divisors (1504532448).

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

564830640 is a wasteful number, since it uses less digits than its factorization.

564830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71347 (or 71338 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564830640 is about 23766.1658666264. The cubic root of 564830640 is about 826.6203306784.

The spelling of 564830640 in words is "five hundred sixty-four million, eight hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 71317 142634 213951 285268 356585 427902 570536 641853 713170 784487 855804 1069755 1141072 1283706 1426340 1568974 1711608 2139510 2353461 2567412 2852680 3137948 3209265 3423216 3922435 4279020 4706922 5134824 5705360 6275896 6418530 7060383 7844870 8558040 9413844 10269648 11767305 12551792 12837060 14120766 15689740 17116080 18827688 23534610 25674120 28241532 31379480 35301915 37655376 47069220 51348240 56483064 62758960 70603830 94138440 112966128 141207660 188276880 282415320 564830640