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24300055120 = 2451148715669
BaseRepresentation
bin10110101000011001…
…010110101001010000
32022201111211200221111
4112220121112221100
5344231303230440
615055134303104
71520115026515
oct265031265120
968644750844
1024300055120
11a33a825090
124862057a94
1323a3516253
14126742530c
159735114ea
hex5a8656a50

24300055120 has 80 divisors (see below), whose sum is σ = 61657303680. Its totient is φ = 8833011200.

The previous prime is 24300055093. The next prime is 24300055121. The reversal of 24300055120 is 2155000342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 24300055091 and 24300055100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24300055121) 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, 4283646 + ... + 4289314.

It is an arithmetic number, because the mean of its divisors is an integer number (770716296).

Almost surely, 224300055120 is an apocalyptic number.

24300055120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24300055120 is an abundant number, since it is smaller than the sum of its proper divisors (37357248560).

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

24300055120 is a wasteful number, since it uses less digits than its factorization.

24300055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 24300055120 its reverse (2155000342), we get a palindrome (26455055462).

The spelling of 24300055120 in words is "twenty-four billion, three hundred million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4871 5669 9742 11338 19484 22676 24355 28345 38968 45352 48710 53581 56690 62359 77936 90704 97420 107162 113380 124718 194840 214324 226760 249436 267905 311795 389680 428648 453520 498872 535810 623590 857296 997744 1071620 1247180 2143240 2494360 4286480 4988720 27613699 55227398 110454796 138068495 220909592 276136990 303750689 441819184 552273980 607501378 1104547960 1215002756 1518753445 2209095920 2430005512 3037506890 4860011024 6075013780 12150027560 24300055120