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1632 = 25317
BaseRepresentation
bin11001100000
32020110
4121200
523012
611320
74521
oct3140
92213
101632
111254
12b40
13987
14848
1573c
hex660

1632 has 24 divisors (see below), whose sum is σ = 4536. Its totient is φ = 512.

The previous prime is 1627. The next prime is 1637. The reversal of 1632 is 2361.

1632 divided by its sum of digits (12) gives a triangular number (136 = T16).

Subtracting from 1632 its product of digits (36), we obtain a triangular number (1596 = T56).

Adding to 1632 its reverse (2361), we get a palindrome (3993).

Subtracting 1632 from its reverse (2361), we obtain a 6-th power (729 = 36).

It can be divided in two parts, 16 and 32, that multiplied together give a 9-th power (512 = 29).

1632 is nontrivially palindromic in base 14.

1632 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1627) and next prime (1637).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

1632 is an undulating number in base 14.

It is a nialpdrome in base 12, base 13 and base 16.

It is a zygodrome in base 2.

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 1632.

It is not an unprimeable number, because it can be changed into a prime (1637) by changing a digit.

1632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 1632 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88 + ... + 104.

It is an arithmetic number, because the mean of its divisors is an integer number (189).

1632 is a gapful number since it is divisible by the number (12) 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 1632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268).

1632 is an abundant number, since it is smaller than the sum of its proper divisors (2904).

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

1632 is a wasteful number, since it uses less digits than its factorization.

1632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 22 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 1632 is about 40.3980197534. The cubic root of 1632 is about 11.7735306338.

The spelling of 1632 in words is "one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632