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24240305920 = 28519398123
BaseRepresentation
bin10110100100110101…
…011011011100000000
32022120100102010110011
4112210311123130000
5344121004242140
615045201514304
71515461125555
oct264465333400
968510363404
1024240305920
11a30a025686
124846042994
1323940264ac
14125d510a2c
1596d15ccea
hex5a4d5b700

24240305920 has 72 divisors (see below), whose sum is σ = 58364547696. Its totient is φ = 9645785088.

The previous prime is 24240305897. The next prime is 24240305923. The reversal of 24240305920 is 2950304242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24240305923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197979 + ... + 296101.

It is an arithmetic number, because the mean of its divisors is an integer number (810618718).

Almost surely, 224240305920 is an apocalyptic number.

24240305920 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 24240305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29182273848).

24240305920 is an abundant number, since it is smaller than the sum of its proper divisors (34124241776).

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

24240305920 is an equidigital number, since it uses as much as digits as its factorization.

24240305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98337 (or 98323 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 24240305920 in words is "twenty-four billion, two hundred forty million, three hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 256 320 386 640 772 965 1280 1544 1930 3088 3860 6176 7720 12352 15440 24704 30880 49408 61760 98123 123520 196246 247040 392492 490615 784984 981230 1569968 1962460 3139936 3924920 6279872 7849840 12559744 15699680 18937739 25119488 31399360 37875478 62798720 75750956 94688695 125597440 151501912 189377390 303003824 378754780 606007648 757509560 1212015296 1515019120 2424030592 3030038240 4848061184 6060076480 12120152960 24240305920