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24420 = 22351137
BaseRepresentation
bin101111101100100
31020111110
411331210
51240140
6305020
7131124
oct57544
936443
1024420
1117390
1212170
13b166
148c84
157380
hex5f64

24420 has 48 divisors (see below), whose sum is σ = 76608. Its totient is φ = 5760.

The previous prime is 24419. The next prime is 24421. The reversal of 24420 is 2442.

Adding to 24420 its reverse (2442), we get a palindrome (26862).

It can be divided in two parts, 24 and 420, that added together give a palindrome (444).

It is an interprime number because it is at equal distance from previous prime (24419) and next prime (24421).

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

It is a junction number, because it is equal to n+sod(n) for n = 24396 and 24405.

It is not an unprimeable number, because it can be changed into a prime (24421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

224420 is an apocalyptic number.

24420 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 24420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

24420 is an abundant number, since it is smaller than the sum of its proper divisors (52188).

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

24420 is a wasteful number, since it uses less digits than its factorization.

24420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 24420 is about 156.2689988449. The cubic root of 24420 is about 29.0122817578.

The spelling of 24420 in words is "twenty-four thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420