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631530240 = 28351114951
BaseRepresentation
bin100101101001000…
…110001100000000
31122000100001121220
4211221012030000
52243132431430
6142355515040
721435630015
oct4551061400
91560301556
10631530240
112a4534020
121575b8a80
13a0ab8243
145dc3370c
153a69a110
hex25a46300

631530240 has 144 divisors (see below), whose sum is σ = 2200455936. Its totient is φ = 153088000.

The previous prime is 631530217. The next prime is 631530259. The reversal of 631530240 is 42035136.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 631530240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34765 + ... + 49715.

It is an arithmetic number, because the mean of its divisors is an integer number (15280944).

Almost surely, 2631530240 is an apocalyptic number.

631530240 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 631530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100227968).

631530240 is an abundant number, since it is smaller than the sum of its proper divisors (1568925696).

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

631530240 is a wasteful number, since it uses less digits than its factorization.

631530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986 (or 14972 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 631530240 is about 25130.2654184153. The cubic root of 631530240 is about 857.9554097919.

Adding to 631530240 its reverse (42035136), we get a palindrome (673565376).

The spelling of 631530240 in words is "six hundred thirty-one million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 14951 21120 29902 42240 44853 59804 74755 89706 119608 149510 164461 179412 224265 239216 299020 328922 358824 448530 478432 493383 598040 657844 717648 822305 897060 956864 986766 1196080 1315688 1435296 1644610 1794120 1913728 1973532 2392160 2466915 2631376 2870592 3289220 3588240 3827456 3947064 4784320 4933830 5262752 5741184 6578440 7176480 7894128 9568640 9867660 10525504 11482368 13156880 14352960 15788256 19137280 19735320 21051008 26313760 28705920 31576512 39470640 42102016 52627520 57411840 63153024 78941280 105255040 126306048 157882560 210510080 315765120 631530240