Search a number
-
+
63205480 = 23513197617
BaseRepresentation
bin1111000100011…
…1000001101000
311101221011121201
43301013001220
5112140033410
610134413544
71365144352
oct361070150
9141834551
1063205480
1132750238
12192012b4
131012ccc0
1485740d2
15583783a
hex3c47068

63205480 has 64 divisors (see below), whose sum is σ = 154178640. Its totient is φ = 23181312.

The previous prime is 63205453. The next prime is 63205501. The reversal of 63205480 is 8450236.

It can be written as a sum of positive squares in 8 ways, for example, as 16337764 + 46867716 = 4042^2 + 6846^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 102132 + ... + 102748.

Almost surely, 263205480 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 63205480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77089320).

63205480 is an abundant number, since it is smaller than the sum of its proper divisors (90973160).

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

63205480 is a wasteful number, since it uses less digits than its factorization.

63205480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 63205480 is about 7950.1874191745. The cubic root of 63205480 is about 398.3378527330.

The spelling of 63205480 in words is "sixty-three million, two hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 197 260 394 520 617 788 985 1234 1576 1970 2468 2561 3085 3940 4936 5122 6170 7880 8021 10244 12340 12805 16042 20488 24680 25610 32084 40105 51220 64168 80210 102440 121549 160420 243098 320840 486196 607745 972392 1215490 1580137 2430980 3160274 4861960 6320548 7900685 12641096 15801370 31602740 63205480