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2110761328 = 241321634789
BaseRepresentation
bin111110111001111…
…1010100101110000
312110002202210012111
41331303322211300
513310323330303
6545240535104
7103210114054
oct17563724560
95402683174
102110761328
11993519255
124aaa81494
132783b8100
1416048bc64
15c5490b6d
hex7dcfa970

2110761328 has 60 divisors (see below), whose sum is σ = 4456481880. Its totient is φ = 968018688.

The previous prime is 2110761299. The next prime is 2110761353. The reversal of 2110761328 is 8231670112.

It is a self number, because there is not a number n which added to its sum of digits gives 2110761328.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 438358 + ... + 443146.

It is an arithmetic number, because the mean of its divisors is an integer number (74274698).

Almost surely, 22110761328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110761328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228240940).

2110761328 is an abundant number, since it is smaller than the sum of its proper divisors (2345720552).

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

2110761328 is a wasteful number, since it uses less digits than its factorization.

2110761328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 2110761328 is about 45943.0226258569. The cubic root of 2110761328 is about 1282.7628570018.

The spelling of 2110761328 in words is "two billion, one hundred ten million, seven hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 163 169 208 326 338 652 676 1304 1352 2119 2608 2704 4238 4789 8476 9578 16952 19156 27547 33904 38312 55094 62257 76624 110188 124514 220376 249028 440752 498056 780607 809341 996112 1561214 1618682 3122428 3237364 6244856 6474728 10147891 12489712 12949456 20295782 40591564 81183128 131922583 162366256 263845166 527690332 1055380664 2110761328