Search a number
-
+
20070 = 2325223
BaseRepresentation
bin100111001100110
31000112100
410321212
51120240
6232530
7112341
oct47146
930470
1020070
1114096
12b746
13919b
147458
155e30
hex4e66

20070 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 5328.

The previous prime is 20063. The next prime is 20071. The reversal of 20070 is 7002.

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 (20071) 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, 22 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

220070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208).

20070 is an abundant number, since it is smaller than the sum of its proper divisors (32346).

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

20070 is a wasteful number, since it uses less digits than its factorization.

20070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 20070 is about 141.6686274374. The cubic root of 20070 is about 27.1758074969.

Adding to 20070 its reverse (7002), we get a palindrome (27072).

The spelling of 20070 in words is "twenty thousand, seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 3345 4014 6690 10035 20070