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630530640 = 243255914843
BaseRepresentation
bin100101100101010…
…010001001010000
31121221110021102200
4211211102021100
52242403440030
6142322243200
721424264515
oct4545221120
91557407380
10630530640
112a3a11003
121571b6500
13a082826c
145da5330c
153a54dd60
hex25952250

630530640 has 120 divisors (see below), whose sum is σ = 2153567520. Its totient is φ = 165280512.

The previous prime is 630530639. The next prime is 630530647. The reversal of 630530640 is 46035036.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630530647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35059 + ... + 49901.

It is an arithmetic number, because the mean of its divisors is an integer number (17946396).

Almost surely, 2630530640 is an apocalyptic number.

630530640 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 630530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076783760).

630530640 is an abundant number, since it is smaller than the sum of its proper divisors (1523036880).

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

630530640 is a wasteful number, since it uses less digits than its factorization.

630530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 630530640 is about 25110.3691729134. The cubic root of 630530640 is about 857.5025071680.

Adding to 630530640 its reverse (46035036), we get a palindrome (676565676).

The spelling of 630530640 in words is "six hundred thirty million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 14843 21240 29686 42480 44529 59372 74215 89058 118744 133587 148430 178116 222645 237488 267174 296860 356232 445290 534348 593720 667935 712464 875737 890580 1068696 1187440 1335870 1751474 1781160 2137392 2627211 2671740 3502948 3562320 4378685 5254422 5343480 7005896 7881633 8757370 10508844 10686960 13136055 14011792 15763266 17514740 21017688 26272110 31526532 35029480 39408165 42035376 52544220 63053064 70058960 78816330 105088440 126106128 157632660 210176880 315265320 630530640