Search a number
-
+
63325680 = 24351117283
BaseRepresentation
bin1111000110010…
…0010111110000
311102011021111120
43301210113300
5112202410210
610141142240
71366154655
oct361442760
9142137446
1063325680
1132822580
121925a980
1310172922
1485a5c2c
15585d270
hex3c645f0

63325680 has 240 divisors, whose sum is σ = 230235264. Its totient is φ = 14274560.

The previous prime is 63325631. The next prime is 63325709. The reversal of 63325680 is 8652336.

63325680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×633256803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762919 + ... + 763001.

Almost surely, 263325680 is an apocalyptic number.

63325680 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 63325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117632).

63325680 is an abundant number, since it is smaller than the sum of its proper divisors (166909584).

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

63325680 is a wasteful number, since it uses less digits than its factorization.

63325680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 63325680 is about 7957.7433987281. The cubic root of 63325680 is about 398.5902036901.

It can be divided in two parts, 633256 and 80, that added together give a palindrome (633336).

The spelling of 63325680 in words is "sixty-three million, three hundred twenty-five thousand, six hundred eighty".