Search a number
-
+
24028080 = 2435531889
BaseRepresentation
bin101101110101…
…0001110110000
31200012202022220
41123222032300
522122344310
62215001040
7411143466
oct133521660
950182286
1024028080
111262171a
128069180
134c939cb
143296836
152199670
hex16ea3b0

24028080 has 80 divisors (see below), whose sum is σ = 75932640. Its totient is φ = 6283264.

The previous prime is 24028079. The next prime is 24028097. The reversal of 24028080 is 8082042.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24028080.

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 15 ways as a sum of consecutive naturals, for example, 11776 + ... + 13664.

It is an arithmetic number, because the mean of its divisors is an integer number (949158).

Almost surely, 224028080 is an apocalyptic number.

24028080 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 24028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966320).

24028080 is an abundant number, since it is smaller than the sum of its proper divisors (51904560).

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

24028080 is a wasteful number, since it uses less digits than its factorization.

24028080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 24028080 is about 4901.8445507788. The cubic root of 24028080 is about 288.5623656832.

The spelling of 24028080 in words is "twenty-four million, twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 1889 2120 2544 3180 3778 4240 5667 6360 7556 9445 11334 12720 15112 18890 22668 28335 30224 37780 45336 56670 75560 90672 100117 113340 151120 200234 226680 300351 400468 453360 500585 600702 800936 1001170 1201404 1501755 1601872 2002340 2402808 3003510 4004680 4805616 6007020 8009360 12014040 24028080