Search a number
-
+
63200540 = 22513435653
BaseRepresentation
bin1111000100010…
…1110100011100
311101220220211202
43301011310130
5112134404130
610134335032
71365124064
oct361056434
9141826752
1063200540
1132747557
12191ba478
131012a990
1485723a4
155836145
hex3c45d1c

63200540 has 48 divisors (see below), whose sum is σ = 146280288. Its totient is φ = 22788864.

The previous prime is 63200531. The next prime is 63200581. The reversal of 63200540 is 4500236.

63200540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 8354 + ... + 14006.

It is an arithmetic number, because the mean of its divisors is an integer number (3047506).

Almost surely, 263200540 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 63200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73140144).

63200540 is an abundant number, since it is smaller than the sum of its proper divisors (83079748).

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

63200540 is a wasteful number, since it uses less digits than its factorization.

63200540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 63200540 is about 7949.8767286040. The cubic root of 63200540 is about 398.3274747285.

Adding to 63200540 its reverse (4500236), we get a palindrome (67700776).

The spelling of 63200540 in words is "sixty-three million, two hundred thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 5653 11180 11306 22612 28265 56530 73489 113060 146978 243079 293956 367445 486158 734890 972316 1215395 1469780 2430790 3160027 4861580 6320054 12640108 15800135 31600270 63200540