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24330020 = 225111347181
BaseRepresentation
bin101110011001…
…1111100100100
31200210002111212
41130303330210
522212030040
62225250552
7413542001
oct134637444
950702455
1024330020
1112808560
128193a58
13506b280
1433348a8
152208d65
hex1733f24

24330020 has 96 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 7948800.

The previous prime is 24329993. The next prime is 24330023. The reversal of 24330020 is 2003342.

It is a junction number, because it is equal to n+sod(n) for n = 24329977 and 24330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24330023) 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, 134330 + ... + 134510.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 224330020 is an apocalyptic number.

24330020 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 24330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608).

24330020 is an abundant number, since it is smaller than the sum of its proper divisors (37311196).

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

24330020 is a wasteful number, since it uses less digits than its factorization.

24330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 24330020 is about 4932.5470094060. The cubic root of 24330020 is about 289.7660419825.

Adding to 24330020 its reverse (2003342), we get a palindrome (26333362).

The spelling of 24330020 in words is "twenty-four million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 65 94 110 130 143 181 188 220 235 260 286 362 470 517 572 611 715 724 905 940 1034 1222 1430 1810 1991 2068 2353 2444 2585 2860 3055 3620 3982 4706 5170 6110 6721 7964 8507 9412 9955 10340 11765 12220 13442 17014 19910 23530 25883 26884 33605 34028 39820 42535 47060 51766 67210 85070 93577 103532 110591 129415 134420 170140 187154 221182 258830 374308 442364 467885 517660 552955 935770 1105910 1216501 1871540 2211820 2433002 4866004 6082505 12165010 24330020