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63431680 = 210513953
BaseRepresentation
bin1111000111111…
…0010000000000
311102100122220111
43301332100000
5112214303210
610143321104
71400106004
oct361762000
9142318814
1063431680
1132895184
12192b0194
13101abc50
1485d2704
15587e88a
hex3c7e400

63431680 has 88 divisors (see below), whose sum is σ = 164038392. Its totient is φ = 23396352.

The previous prime is 63431659. The next prime is 63431689. The reversal of 63431680 is 8613436.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 62980096 = 672^2 + 7936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63431689) 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 7 ways as a sum of consecutive naturals, for example, 66084 + ... + 67036.

Almost surely, 263431680 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 63431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82019196).

63431680 is an abundant number, since it is smaller than the sum of its proper divisors (100606712).

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

63431680 is a wasteful number, since it uses less digits than its factorization.

63431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 63431680 is about 7964.4007935312. The cubic root of 63431680 is about 398.8124779674.

The spelling of 63431680 in words is "sixty-three million, four hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 953 1024 1040 1280 1664 1906 2080 2560 3328 3812 4160 4765 5120 6656 7624 8320 9530 12389 13312 15248 16640 19060 24778 30496 33280 38120 49556 60992 61945 66560 76240 99112 121984 123890 152480 198224 243968 247780 304960 396448 487936 495560 609920 792896 975872 991120 1219840 1585792 1982240 2439680 3171584 3964480 4879360 6343168 7928960 12686336 15857920 31715840 63431680