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2075130728 = 2311294491811
BaseRepresentation
bin111101110101111…
…1111101101101000
312100121201120012122
41323223333231220
513222213140403
6541525130412
7102265214546
oct17353775550
95317646178
102075130728
119753a2480
1249ab59a08
13270bc1308
14159854d96
15c22a3838
hex7baffb68

2075130728 has 64 divisors (see below), whose sum is σ = 4403160000. Its totient is φ = 908185600.

The previous prime is 2075130727. The next prime is 2075130787. The reversal of 2075130728 is 8270315702.

It is not an unprimeable number, because it can be changed into a prime (2075130727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144943 + ... + 1146753.

It is an arithmetic number, because the mean of its divisors is an integer number (68799375).

Almost surely, 22075130728 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 2075130728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201580000).

2075130728 is an abundant number, since it is smaller than the sum of its proper divisors (2328029272).

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

2075130728 is a wasteful number, since it uses less digits than its factorization.

2075130728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 2075130728 is about 45553.6027993396. The cubic root of 2075130728 is about 1275.5039869406.

The spelling of 2075130728 in words is "two billion, seventy-five million, one hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 449 638 898 1276 1796 1811 2552 3592 3622 4939 7244 9878 13021 14488 19756 19921 26042 39512 39842 52084 52519 79684 104168 105038 143231 159368 210076 286462 420152 572924 577709 813139 1145848 1155418 1626278 2310836 3252556 4621672 6505112 8944529 17889058 23581031 35778116 47162062 71556232 94324124 188648248 259391341 518782682 1037565364 2075130728