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2104403120 = 24537739739
BaseRepresentation
bin111110101101110…
…1010010010110000
312102122210202101022
41331123222102300
513302211344440
6544452355012
7103102063031
oct17533522260
95378722338
102104403120
1198a976236
124a8915a68
13276ca0061
1415d6b4a88
15c4b36cb5
hex7d6ea4b0

2104403120 has 80 divisors (see below), whose sum is σ = 5094331680. Its totient is φ = 807708672.

The previous prime is 2104403113. The next prime is 2104403129. The reversal of 2104403120 is 213044012.

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

It is a super-3 number, since 3×21044031203 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2104403129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211211 + ... + 220949.

It is an arithmetic number, because the mean of its divisors is an integer number (63679146).

Almost surely, 22104403120 is an apocalyptic number.

2104403120 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 2104403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547165840).

2104403120 is an abundant number, since it is smaller than the sum of its proper divisors (2989928560).

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

2104403120 is a wasteful number, since it uses less digits than its factorization.

2104403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9862 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2104403120 is about 45873.7737710775. The cubic root of 2104403120 is about 1281.4735471294.

Adding to 2104403120 its reverse (213044012), we get a palindrome (2317447132).

It can be divided in two parts, 2104 and 403120, that added together give a cube (405224 = 743).

The spelling of 2104403120 in words is "two billion, one hundred four million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 73 74 80 146 148 185 292 296 365 370 584 592 730 740 1168 1460 1480 2701 2920 2960 5402 5840 9739 10804 13505 19478 21608 27010 38956 43216 48695 54020 77912 97390 108040 155824 194780 216080 360343 389560 710947 720686 779120 1421894 1441372 1801715 2843788 2882744 3554735 3603430 5687576 5765488 7109470 7206860 11375152 14218940 14413720 26305039 28437880 28827440 52610078 56875760 105220156 131525195 210440312 263050390 420880624 526100780 1052201560 2104403120