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60006 = 2373137
BaseRepresentation
bin1110101001100110
310001022110
432221212
53410011
61141450
7336642
oct165146
9101273
1060006
11410a1
122a886
132140b
1417c22
1512ba6
hexea66

60006 has 16 divisors (see below), whose sum is σ = 122544. Its totient is φ = 19584.

The previous prime is 59999. The next prime is 60013.

It can be divided in two parts, 6000 and 6, that added together give a palindrome (6006).

60006 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (59999) and next prime (60013).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 59973 and 60000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (7659).

260006 is an apocalyptic number.

60006 is an abundant number, since it is smaller than the sum of its proper divisors (62538).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61272).

60006 is a wasteful number, since it uses less digits than its factorization.

60006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

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

The square root of 60006 is about 244.9612214209. The cubic root of 60006 is about 39.1499813241.

The spelling of 60006 in words is "sixty thousand, six", and thus it is an eban number.

Divisors: 1 2 3 6 73 137 146 219 274 411 438 822 10001 20002 30003 60006