Search a number
-
+
14070 = 235767
BaseRepresentation
bin11011011110110
3201022010
43123312
5422240
6145050
756010
oct33366
921263
1014070
11a631
128186
136534
1451b0
154280
hex36f6

14070 has 32 divisors (see below), whose sum is σ = 39168. Its totient is φ = 3168.

The previous prime is 14057. The next prime is 14071. The reversal of 14070 is 7041.

14070 = T9 + T10 + ... + T43.

It is a plaindrome in base 8.

It is a nialpdrome in base 11.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14071) by changing a digit.

14070 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, 177 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (1224).

214070 is an apocalyptic number.

14070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584).

14070 is an abundant number, since it is smaller than the sum of its proper divisors (25098).

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

14070 is a wasteful number, since it uses less digits than its factorization.

14070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 14070 is about 118.6170308177. The cubic root of 14070 is about 24.1415249164.

It can be divided in two parts, 140 and 70, that added together give a triangular number (210 = T20).

The spelling of 14070 in words is "fourteen thousand, seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 14070