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631067640 = 233576711213
BaseRepresentation
bin100101100111010…
…101001111111000
31121222110120001120
4211213111033320
52243023131030
6142341545240
721431662230
oct4547251770
91558416046
10631067640
112a4248505
12157415220
13a0985808
145db52cc0
153a608010
hex259d53f8

631067640 has 128 divisors (see below), whose sum is σ = 2196149760. Its totient is φ = 142078464.

The previous prime is 631067617. The next prime is 631067641. The reversal of 631067640 is 46760136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631067641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50674 + ... + 61886.

It is an arithmetic number, because the mean of its divisors is an integer number (17157420).

Almost surely, 2631067640 is an apocalyptic number.

631067640 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 631067640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098074880).

631067640 is an abundant number, since it is smaller than the sum of its proper divisors (1565082120).

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

631067640 is a wasteful number, since it uses less digits than its factorization.

631067640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 631067640 is about 25121.0596910242. The cubic root of 631067640 is about 857.7458726523.

The spelling of 631067640 in words is "six hundred thirty-one million, sixty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11213 11256 14070 18760 22426 28140 33639 44852 56065 56280 67278 78491 89704 112130 134556 156982 168195 224260 235473 269112 313964 336390 392455 448520 470946 627928 672780 751271 784910 941892 1177365 1345560 1502542 1569820 1883784 2253813 2354730 3005084 3139640 3756355 4507626 4709460 5258897 6010168 7512710 9015252 9418920 10517794 11269065 15025420 15776691 18030504 21035588 22538130 26294485 30050840 31553382 42071176 45076260 52588970 63106764 78883455 90152520 105177940 126213528 157766910 210355880 315533820 631067640