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645470640 = 243351511979
BaseRepresentation
bin100110011110010…
…001100110110000
31122222120022021000
4212132101212300
52310220030030
6144014402000
721665260413
oct4636214660
91588508230
10645470640
11301395711
12160200300
13a39594b9
1461a21b7a
153ba00860
hex267919b0

645470640 has 160 divisors (see below), whose sum is σ = 2239142400. Its totient is φ = 170899200.

The previous prime is 645470627. The next prime is 645470647. The reversal of 645470640 is 46074546.

645470640 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 7 + 0 + 640 = 666.

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 = 645470595 and 645470604.

It is not an unprimeable number, because it can be changed into a prime (645470647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325171 + ... + 327149.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2645470640 is an apocalyptic number.

645470640 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 645470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119571200).

645470640 is an abundant number, since it is smaller than the sum of its proper divisors (1593671760).

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

645470640 is a wasteful number, since it uses less digits than its factorization.

645470640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2140 counting only the distinct ones).

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

The square root of 645470640 is about 25406.1142247294. The cubic root of 645470640 is about 864.2223578928. Note that the first 3 decimals are identical.

The spelling of 645470640 in words is "six hundred forty-five million, four hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 151 180 216 240 270 302 360 432 453 540 604 720 755 906 1080 1208 1359 1510 1812 1979 2160 2265 2416 2718 3020 3624 3958 4077 4530 5436 5937 6040 6795 7248 7916 8154 9060 9895 10872 11874 12080 13590 15832 16308 17811 18120 19790 20385 21744 23748 27180 29685 31664 32616 35622 36240 39580 40770 47496 53433 54360 59370 65232 71244 79160 81540 89055 94992 106866 108720 118740 142488 158320 163080 178110 213732 237480 267165 284976 298829 326160 356220 427464 474960 534330 597658 712440 854928 896487 1068660 1195316 1424880 1494145 1792974 2137320 2390632 2689461 2988290 3585948 4274640 4482435 4781264 5378922 5976580 7171896 8068383 8964870 10757844 11953160 13447305 14343792 16136766 17929740 21515688 23906320 26894610 32273532 35859480 40341915 43031376 53789220 64547064 71718960 80683830 107578440 129094128 161367660 215156880 322735320 645470640