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20460 = 22351131
BaseRepresentation
bin100111111101100
31001001210
410333230
51123320
6234420
7113436
oct47754
931053
1020460
1114410
12ba10
13940b
147656
1560e0
hex4fec

20460 has 48 divisors (see below), whose sum is σ = 64512. Its totient is φ = 4800.

The previous prime is 20443. The next prime is 20477. The reversal of 20460 is 6402.

Adding to 20460 its reverse (6402), we get a palindrome (26862).

20460 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (20443) and next prime (20477).

It is a super-2 number, since 2×204602 = 837223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

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 20460.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

220460 is an apocalyptic number.

20460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

20460 is an abundant number, since it is smaller than the sum of its proper divisors (44052).

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

20460 is a wasteful number, since it uses less digits than its factorization.

20460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20460 is about 143.0384563675. The cubic root of 20460 is about 27.3507061214.

The spelling of 20460 in words is "twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460