Search a number
-
+
1032064 = 2711733
BaseRepresentation
bin11111011111110000000
31221102201121
43323332000
5231011224
634042024
711525635
oct3737600
91842647
101032064
11645450
12419314
132a19b7
141cc18c
15155be4
hexfbf80

1032064 has 32 divisors (see below), whose sum is σ = 2246040. Its totient is φ = 468480.

The previous prime is 1032049. The next prime is 1032067. The reversal of 1032064 is 4602301.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10320642 = 2130312200192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1042 + ... + 1774.

21032064 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 1032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123020).

1032064 is an abundant number, since it is smaller than the sum of its proper divisors (1213976).

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

1032064 is an equidigital number, since it uses as much as digits as its factorization.

1032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1032064 is about 1015.9055074169. The cubic root of 1032064 is about 101.0575759033.

Adding to 1032064 its reverse (4602301), we get a palindrome (5634365).

The spelling of 1032064 in words is "one million, thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 733 1408 1466 2932 5864 8063 11728 16126 23456 32252 46912 64504 93824 129008 258016 516032 1032064