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2030025120 = 25356776247
BaseRepresentation
bin111100011111111…
…1011100110100000
312020110211221221120
41320333323212200
513124141300440
6533234252240
7101206633404
oct17077734640
95213757846
102030025120
11951994a12
12487a27080
1326475a8c6
14153873104
15bd343dd0
hex78ffb9a0

2030025120 has 96 divisors (see below), whose sum is σ = 6405049728. Its totient is φ = 540453888.

The previous prime is 2030025089. The next prime is 2030025121. The reversal of 2030025120 is 215200302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2030025120.

It is not an unprimeable number, because it can be changed into a prime (2030025121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321837 + ... + 328083.

It is an arithmetic number, because the mean of its divisors is an integer number (66719268).

Almost surely, 22030025120 is an apocalyptic number.

2030025120 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 2030025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202524864).

2030025120 is an abundant number, since it is smaller than the sum of its proper divisors (4375024608).

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

2030025120 is a wasteful number, since it uses less digits than its factorization.

2030025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2030025120 is about 45055.8000705791. The cubic root of 2030025120 is about 1266.1946397553.

Adding to 2030025120 its reverse (215200302), we get a palindrome (2245225422).

The spelling of 2030025120 in words is "two billion, thirty million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 677 1354 2031 2708 3385 4062 5416 6247 6770 8124 10155 10832 12494 13540 16248 18741 20310 21664 24988 27080 31235 32496 37482 40620 49976 54160 62470 64992 74964 81240 93705 99952 108320 124940 149928 162480 187410 199904 249880 299856 324960 374820 499760 599712 749640 999520 1499280 2998560 4229219 8458438 12687657 16916876 21146095 25375314 33833752 42292190 50750628 63438285 67667504 84584380 101501256 126876570 135335008 169168760 203002512 253753140 338337520 406005024 507506280 676675040 1015012560 2030025120