Search a number
-
+
2090729305 = 5726721901
BaseRepresentation
bin111110010011101…
…1111111101011001
312101201002001102201
41330213133331121
513240211314210
6543243330201
7102544622500
oct17447377531
95351061381
102090729305
11983186965
124a4220961
132741c3242
1415b955837
15c383553a
hex7c9dff59

2090729305 has 36 divisors (see below), whose sum is σ = 2964255588. Its totient is φ = 1411502400.

The previous prime is 2090729299. The next prime is 2090729321. The reversal of 2090729305 is 5039270902.

It can be written as a sum of positive squares in 2 ways, for example, as 425844496 + 1664884809 = 20636^2 + 40803^2 .

It is not a de Polignac number, because 2090729305 - 23 = 2090729297 is a prime.

It is a super-2 number, since 2×20907293052 = 8742298053571566050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1098855 + ... + 1100755.

It is an arithmetic number, because the mean of its divisors is an integer number (82340433).

Almost surely, 22090729305 is an apocalyptic number.

It is an amenable number.

2090729305 is a deficient number, since it is larger than the sum of its proper divisors (873526283).

2090729305 is an equidigital number, since it uses as much as digits as its factorization.

2090729305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 2090729305 is about 45724.4934909070. The cubic root of 2090729305 is about 1278.6919631246.

The spelling of 2090729305 in words is "two billion, ninety million, seven hundred twenty-nine thousand, three hundred five".

Divisors: 1 5 7 35 49 67 245 335 469 1901 2345 3283 4489 9505 13307 16415 22445 31423 66535 93149 127367 157115 219961 465745 636835 891569 1099805 4457845 6240983 8533589 31204915 42667945 59735123 298675615 418145861 2090729305