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16506 = 2327131
BaseRepresentation
bin100000001111010
3211122100
410001322
51012011
6204230
766060
oct40172
924570
1016506
1111446
129676
137689
146030
154d56
hex407a

16506 has 24 divisors (see below), whose sum is σ = 41184. Its totient is φ = 4680.

The previous prime is 16493. The next prime is 16519. The reversal of 16506 is 60561.

It is an interprime number because it is at equal distance from previous prime (16493) and next prime (16519).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (1716).

216506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592).

16506 is an abundant number, since it is smaller than the sum of its proper divisors (24678).

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

16506 is a wasteful number, since it uses less digits than its factorization.

16506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 16506 is about 128.4756786322. The cubic root of 16506 is about 25.4613023188.

The spelling of 16506 in words is "sixteen thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5502 8253 16506