Search a number
-
+
3190540128 = 253231937487
BaseRepresentation
bin1011111000101011…
…1100011101100000
322020100120020020220
42332022330131200
523013234241003
61244332203040
7142031100156
oct27612743540
98210506226
103190540128
111397a82026
12750609480
133bb008a89
14223a453d6
1513a180353
hexbe2bc760

3190540128 has 96 divisors (see below), whose sum is σ = 8785760256. Its totient is φ = 1011867648.

The previous prime is 3190540063. The next prime is 3190540141. The reversal of 3190540128 is 8210450913.

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

It is a congruent number.

It is an unprimeable number.

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, 422401 + ... + 429887.

It is an arithmetic number, because the mean of its divisors is an integer number (91518336).

Almost surely, 23190540128 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 3190540128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392880128).

3190540128 is an abundant number, since it is smaller than the sum of its proper divisors (5595220128).

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

3190540128 is a wasteful number, since it uses less digits than its factorization.

3190540128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 3190540128 is about 56484.8663625931. The cubic root of 3190540128 is about 1472.1590634270.

The spelling of 3190540128 in words is "three billion, one hundred ninety million, five hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 193 276 368 386 552 579 736 772 1104 1158 1544 2208 2316 3088 4439 4632 6176 7487 8878 9264 13317 14974 17756 18528 22461 26634 29948 35512 44922 53268 59896 71024 89844 106536 119792 142048 172201 179688 213072 239584 344402 359376 426144 516603 688804 718752 1033206 1377608 1444991 2066412 2755216 2889982 4132824 4334973 5510432 5779964 8265648 8669946 11559928 16531296 17339892 23119856 33234793 34679784 46239712 66469586 69359568 99704379 132939172 138719136 199408758 265878344 398817516 531756688 797635032 1063513376 1595270064 3190540128