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20874 = 237271
BaseRepresentation
bin101000110001010
31001122010
411012022
51131444
6240350
7114600
oct50612
931563
1020874
1114757
12100b6
139669
147870
1562b9
hex518a

20874 has 24 divisors (see below), whose sum is σ = 49248. Its totient is φ = 5880.

The previous prime is 20873. The next prime is 20879. The reversal of 20874 is 47802.

It can be divided in two parts, 208 and 74, that added together give a palindrome (282).

It is a happy number.

20874 is nontrivially palindromic in base 13.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20874.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20874.

It is not an unprimeable number, because it can be changed into a prime (20873) 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, 259 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

220874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624).

20874 is an abundant number, since it is smaller than the sum of its proper divisors (28374).

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

20874 is a wasteful number, since it uses less digits than its factorization.

20874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20874 is about 144.4783720839. The cubic root of 20874 is about 27.5339525540.

The spelling of 20874 in words is "twenty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2982 3479 6958 10437 20874