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10332 = 2232741
BaseRepresentation
bin10100001011100
3112011200
42201130
5312312
6115500
742060
oct24134
915150
1010332
117843
125b90
13491a
143aa0
1530dc
hex285c

10332 has 36 divisors (see below), whose sum is σ = 30576. Its totient is φ = 2880.

The previous prime is 10331. The next prime is 10333. The reversal of 10332 is 23301.

Adding to 10332 its reverse (23301), we get a palindrome (33633).

It can be divided in two parts, 1033 and 2, that added together give a triangular number (1035 = T45).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10331) and next prime (10333).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 6.

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 10332.

It is not an unprimeable number, because it can be changed into a prime (10331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 272.

210332 is an apocalyptic number.

10332 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 10332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288).

10332 is an abundant number, since it is smaller than the sum of its proper divisors (20244).

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

10332 is a wasteful number, since it uses less digits than its factorization.

10332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 10332 is about 101.6464460766. The cubic root of 10332 is about 21.7801800611.

The spelling of 10332 in words is "ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332