Search a number
-
+
24081000 = 2335323349
BaseRepresentation
bin101101111011…
…1001001101000
31200022102220220
41123313021220
522131043000
62220050040
7411453666
oct133671150
950272826
1024081000
1112658459
128093920
134cb1b18
1432abc36
1521aa1a0
hex16f7268

24081000 has 128 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 6124800.

The previous prime is 24080971. The next prime is 24081007. The reversal of 24081000 is 18042.

It is a super-2 number, since 2×240810002 = 1159789122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (24081007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68826 + ... + 69174.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 224081000 is an apocalyptic number.

24081000 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 24081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

24081000 is an abundant number, since it is smaller than the sum of its proper divisors (54543000).

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

24081000 is a wasteful number, since it uses less digits than its factorization.

24081000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 24081000 is about 4907.2395498895. The cubic root of 24081000 is about 288.7740558283.

Adding to 24081000 its reverse (18042), we get a palindrome (24099042).

The spelling of 24081000 in words is "twenty-four million, eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 349 375 460 500 552 575 600 690 698 750 920 1000 1047 1150 1380 1396 1500 1725 1745 2094 2300 2760 2792 2875 3000 3450 3490 4188 4600 5235 5750 6900 6980 8027 8376 8625 8725 10470 11500 13800 13960 16054 17250 17450 20940 23000 24081 26175 32108 34500 34900 40135 41880 43625 48162 52350 64216 69000 69800 80270 87250 96324 104700 120405 130875 160540 174500 192648 200675 209400 240810 261750 321080 349000 401350 481620 523500 602025 802700 963240 1003375 1047000 1204050 1605400 2006750 2408100 3010125 4013500 4816200 6020250 8027000 12040500 24081000