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69006 = 2373153
BaseRepresentation
bin10000110110001110
310111122210
4100312032
54202011
61251250
7405120
oct206616
9114583
1069006
1147933
1233b26
1325542
141b210
15156a6
hex10d8e

69006 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 18720.

The previous prime is 69001. The next prime is 69011. The reversal of 69006 is 60096.

69006 is a nontrivial binomial coefficient, being equal to C(372, 2).

It is an interprime number because it is at equal distance from previous prime (69001) and next prime (69011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69001) by changing a digit.

69006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

269006 is an apocalyptic number.

69006 is the 371-st triangular number and also the 186-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

69006 is an abundant number, since it is smaller than the sum of its proper divisors (96882).

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

69006 is a wasteful number, since it uses less digits than its factorization.

69006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 69006 is about 262.6899312878. The cubic root of 69006 is about 41.0168481223.

The spelling of 69006 in words is "sixty-nine thousand, six".

Divisors: 1 2 3 6 7 14 21 31 42 53 62 93 106 159 186 217 318 371 434 651 742 1113 1302 1643 2226 3286 4929 9858 11501 23002 34503 69006