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24424020 = 22325472887
BaseRepresentation
bin101110100101…
…0111001010100
31200221212110100
41131022321110
522223032040
62231254100
7414413025
oct135127124
950855410
1024424020
1112872145
12821a330
1350a1caa
14335ac4c
152226b30
hex174ae54

24424020 has 72 divisors (see below), whose sum is σ = 75688704. Its totient is φ = 6372288.

The previous prime is 24424007. The next prime is 24424051. The reversal of 24424020 is 2042442.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24423984 and 24424002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7017 + ... + 9903.

It is an arithmetic number, because the mean of its divisors is an integer number (1051232).

Almost surely, 224424020 is an apocalyptic number.

24424020 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 24424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37844352).

24424020 is an abundant number, since it is smaller than the sum of its proper divisors (51264684).

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

24424020 is a wasteful number, since it uses less digits than its factorization.

24424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 24424020 is about 4942.0663694451. The cubic root of 24424020 is about 290.1387366298.

Adding to 24424020 its reverse (2042442), we get a palindrome (26466462).

The spelling of 24424020 in words is "twenty-four million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 2887 4230 5774 8460 8661 11548 14435 17322 25983 28870 34644 43305 51966 57740 86610 103932 129915 135689 173220 259830 271378 407067 519660 542756 678445 814134 1221201 1356890 1628268 2035335 2442402 2713780 4070670 4884804 6106005 8141340 12212010 24424020