Search a number
-
+
631521280 = 214513593
BaseRepresentation
bin100101101001000…
…100000000000000
31122000022121100001
4211221010000000
52243132140110
6142355405344
721435561625
oct4551040000
91560277301
10631521280
112a4528315
121575b3854
13a0ab4140
145dc3034c
153a69763a
hex25a44000

631521280 has 120 divisors (see below), whose sum is σ = 1634942232. Its totient is φ = 232783872.

The previous prime is 631521269. The next prime is 631521299. The reversal of 631521280 is 82125136.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 610287616 = 4608^2 + 24704^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a cake number, because a cake can be divided into 631521280 parts by 1559 planar cuts.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064664 + ... + 1065256.

Almost surely, 2631521280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817471116).

631521280 is an abundant number, since it is smaller than the sum of its proper divisors (1003420952).

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

631521280 is an equidigital number, since it uses as much as digits as its factorization.

631521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 631521280 is about 25130.0871466853. The cubic root of 631521280 is about 857.9513522840.

The spelling of 631521280 in words is "six hundred thirty-one million, five hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 593 640 832 1024 1040 1186 1280 1664 2048 2080 2372 2560 2965 3328 4096 4160 4744 5120 5930 6656 7709 8192 8320 9488 10240 11860 13312 15418 16384 16640 18976 20480 23720 26624 30836 33280 37952 38545 40960 47440 53248 61672 66560 75904 77090 81920 94880 106496 123344 133120 151808 154180 189760 212992 246688 266240 303616 308360 379520 493376 532480 607232 616720 759040 986752 1064960 1214464 1233440 1518080 1973504 2428928 2466880 3036160 3947008 4857856 4933760 6072320 7894016 9715712 9867520 12144640 15788032 19735040 24289280 31576064 39470080 48578560 63152128 78940160 126304256 157880320 315760640 631521280