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10062 = 2321343
BaseRepresentation
bin10011101001110
3111210200
42131032
5310222
6114330
741223
oct23516
914720
1010062
117618
1259a6
134770
14394a
152eac
hex274e

10062 has 24 divisors (see below), whose sum is σ = 24024. Its totient is φ = 3024.

The previous prime is 10061. The next prime is 10067. The reversal of 10062 is 26001.

Adding to 10062 its reverse (26001), we get a palindrome (36063).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061) 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, 213 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (1001).

210062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12012).

10062 is an abundant number, since it is smaller than the sum of its proper divisors (13962).

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

10062 is a wasteful number, since it uses less digits than its factorization.

10062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10062 is about 100.3095209838. The cubic root of 10062 is about 21.5887801813.

The spelling of 10062 in words is "ten thousand, sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062