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2740736028 = 2232383181661
BaseRepresentation
bin1010001101011100…
…0101000000011100
321002000011211000210
42203113011000130
521103112023103
61131543252420
7124626605022
oct24327050034
97060154023
102740736028
11118708a5a8
12645a4a110
13348a7a2c4
141bddd8712
1511092ee03
hexa35c501c

2740736028 has 96 divisors (see below), whose sum is σ = 6801080832. Its totient is φ = 857260800.

The previous prime is 2740735993. The next prime is 2740736041. The reversal of 2740736028 is 8206370472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146018 + ... + 4146678.

It is an arithmetic number, because the mean of its divisors is an integer number (70844592).

Almost surely, 22740736028 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 2740736028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400540416).

2740736028 is an abundant number, since it is smaller than the sum of its proper divisors (4060344804).

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

2740736028 is a wasteful number, since it uses less digits than its factorization.

2740736028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2740736028 is about 52352.0393872101. The cubic root of 2740736028 is about 1399.4446824805. Note that the first 3 decimals are identical.

The spelling of 2740736028 in words is "two billion, seven hundred forty million, seven hundred thirty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 181 249 276 332 362 498 543 661 724 996 1086 1322 1909 1983 2172 2644 3818 3966 4163 5727 7636 7932 8326 11454 12489 15023 15203 16652 22908 24978 30046 30406 45069 45609 49956 54863 60092 60812 90138 91218 109726 119641 164589 180276 182436 219452 239282 329178 345529 358923 478564 658356 691058 717846 1036587 1261849 1382116 1435692 2073174 2523698 2751743 3785547 4146348 5047396 5503486 7571094 8255229 9930203 11006972 15142188 16510458 19860406 29790609 33020916 39720812 59581218 119162436 228394669 456789338 685184007 913578676 1370368014 2740736028