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631020240 = 24335389751
BaseRepresentation
bin100101100111001…
…001101011010000
31121222101011001000
4211213021223100
52243020121430
6142340542000
721431404104
oct4547115320
91558334030
10631020240
112a4215934
121573b1900
13a096a076
145db3d904
153a5e8e60
hex259c9ad0

631020240 has 160 divisors (see below), whose sum is σ = 2182003200. Its totient is φ = 167616000.

The previous prime is 631020233. The next prime is 631020253. The reversal of 631020240 is 42020136.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839865 + ... + 840615.

It is an arithmetic number, because the mean of its divisors is an integer number (13637520).

Almost surely, 2631020240 is an apocalyptic number.

631020240 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 631020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091001600).

631020240 is an abundant number, since it is smaller than the sum of its proper divisors (1550982960).

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

631020240 is a wasteful number, since it uses less digits than its factorization.

631020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 631020240 is about 25120.1162417693. The cubic root of 631020240 is about 857.7243967863.

Adding to 631020240 its reverse (42020136), we get a palindrome (673040376).

The spelling of 631020240 in words is "six hundred thirty-one million, twenty thousand, two 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 90 108 120 135 144 180 216 240 270 360 389 432 540 720 751 778 1080 1167 1502 1556 1945 2160 2253 2334 3004 3112 3501 3755 3890 4506 4668 5835 6008 6224 6759 7002 7510 7780 9012 9336 10503 11265 11670 12016 13518 14004 15020 15560 17505 18024 18672 20277 21006 22530 23340 27036 28008 30040 31120 33795 35010 36048 40554 42012 45060 46680 52515 54072 56016 60080 67590 70020 81108 84024 90120 93360 101385 105030 108144 135180 140040 162216 168048 180240 202770 210060 270360 280080 292139 324432 405540 420120 540720 584278 811080 840240 876417 1168556 1460695 1622160 1752834 2337112 2629251 2921390 3505668 4382085 4674224 5258502 5842780 7011336 7887753 8764170 10517004 11685560 13146255 14022672 15775506 17528340 21034008 23371120 26292510 31551012 35056680 39438765 42068016 52585020 63102024 70113360 78877530 105170040 126204048 157755060 210340080 315510120 631020240