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632064 = 283823
BaseRepresentation
bin10011010010100000000
31012010000210
42122110000
5130211224
621314120
75241516
oct2322400
91163023
10632064
113a1974
12265940
13191904
141264b6
15c7429
hex9a500

632064 has 36 divisors (see below), whose sum is σ = 1684256. Its totient is φ = 210432.

The previous prime is 632053. The next prime is 632081. The reversal of 632064 is 460236.

It is a self number, because there is not a number n which added to its sum of digits gives 632064.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 632064.

It is an unprimeable number.

632064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357 + ... + 1179.

2632064 is an apocalyptic number.

632064 is a gapful number since it is divisible by the number (64) 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 632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842128).

632064 is an abundant number, since it is smaller than the sum of its proper divisors (1052192).

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

632064 is an equidigital number, since it uses as much as digits as its factorization.

632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 632064 is about 795.0245279235. The cubic root of 632064 is about 85.8197052127.

The spelling of 632064 in words is "six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 823 1646 2469 3292 4938 6584 9876 13168 19752 26336 39504 52672 79008 105344 158016 210688 316032 632064