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63380000 = 25543169
BaseRepresentation
bin1111000111000…
…1101000100000
311102021001000102
43301301220200
5112211130000
610142241532
71366502225
oct361615040
9142231012
1063380000
113285a372
12192862a8
1310191578
1485bb94c
15586e3d5
hex3c71a20

63380000 has 60 divisors (see below), whose sum is σ = 155973510. Its totient is φ = 25344000.

The previous prime is 63379999. The next prime is 63380003. The reversal of 63380000 is 8336.

It can be written as a sum of positive squares in 5 ways, for example, as 5071504 + 58308496 = 2252^2 + 7636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (63380003) 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 9 ways as a sum of consecutive naturals, for example, 18416 + ... + 21584.

Almost surely, 263380000 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 63380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77986755).

63380000 is an abundant number, since it is smaller than the sum of its proper divisors (92593510).

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

63380000 is an equidigital number, since it uses as much as digits as its factorization.

63380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 63380000 is about 7961.1556949981. The cubic root of 63380000 is about 398.7041397322.

Adding to 63380000 its reverse (8336), we get a palindrome (63388336).

The spelling of 63380000 in words is "sixty-three million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3169 4000 5000 6338 10000 12676 15845 20000 25352 31690 50704 63380 79225 101408 126760 158450 253520 316900 396125 507040 633800 792250 1267600 1584500 1980625 2535200 3169000 3961250 6338000 7922500 12676000 15845000 31690000 63380000