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63132320 = 255394577
BaseRepresentation
bin1111000011010…
…1001010100000
311101210110021002
43300311022200
5112130213240
610133051132
71364421146
oct360651240
9141713232
1063132320
1132700279
1219186aa8
1310105904
148555596
155820d15
hex3c352a0

63132320 has 24 divisors (see below), whose sum is σ = 149150484. Its totient is φ = 25252864.

The previous prime is 63132317. The next prime is 63132347. The reversal of 63132320 is 2323136.

It can be written as a sum of positive squares in 2 ways, for example, as 54582544 + 8549776 = 7388^2 + 2924^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 63132292 and 63132301.

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 3 ways as a sum of consecutive naturals, for example, 197129 + ... + 197448.

Almost surely, 263132320 is an apocalyptic number.

It is an amenable number.

63132320 is an abundant number, since it is smaller than the sum of its proper divisors (86018164).

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

63132320 is a wasteful number, since it uses less digits than its factorization.

63132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394592 (or 394584 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 63132320 is about 7945.5849375612. The cubic root of 63132320 is about 398.1841020951.

Adding to 63132320 its reverse (2323136), we get a palindrome (65455456).

The spelling of 63132320 in words is "sixty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 394577 789154 1578308 1972885 3156616 3945770 6313232 7891540 12626464 15783080 31566160 63132320