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2593430000 = 2454737049
BaseRepresentation
bin1001101010010100…
…1001100111110000
320200201222220010222
42122211021213300
520302404230000
61105202112212
7121160535260
oct23245114760
96621886128
102593430000
111110a18387
1260464b668
133243b2685
141a86117a0
15102a33a85
hex9a9499f0

2593430000 has 100 divisors (see below), whose sum is σ = 7176140400. Its totient is φ = 889152000.

The previous prime is 2593429999. The next prime is 2593430003. The reversal of 2593430000 is 343952.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2593430003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51476 + ... + 88524.

It is an arithmetic number, because the mean of its divisors is an integer number (71761404).

Almost surely, 22593430000 is an apocalyptic number.

2593430000 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 2593430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588070200).

2593430000 is an abundant number, since it is smaller than the sum of its proper divisors (4582710400).

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

2593430000 is an equidigital number, since it uses as much as digits as its factorization.

2593430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37084 (or 37063 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 2593430000 is about 50925.7302353143. The cubic root of 2593430000 is about 1373.9096590311.

Adding to 2593430000 its reverse (343952), we get a palindrome (2593773952).

The spelling of 2593430000 in words is "two billion, five hundred ninety-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 37049 70000 74098 148196 185245 259343 296392 370490 518686 592784 740980 926225 1037372 1296715 1481960 1852450 2074744 2593430 2963920 3704900 4149488 4631125 5186860 6483575 7409800 9262250 10373720 12967150 14819600 18524500 20747440 23155625 25934300 32417875 37049000 46311250 51868600 64835750 74098000 92622500 103737200 129671500 162089375 185245000 259343000 324178750 370490000 518686000 648357500 1296715000 2593430000