Search a number
-
+
1305842490 = 232543337427
BaseRepresentation
bin100110111010101…
…1001001100111010
310101000011200010200
41031311121030322
510133243424430
6333324423030
744234322651
oct11565311472
93330150120
101305842490
11610128877
123053a7a76
1317a702384
14c5602198
1579996460
hex4dd5933a

1305842490 has 48 divisors (see below), whose sum is σ = 3474158688. Its totient is φ = 340125408.

The previous prime is 1305842401. The next prime is 1305842513. The reversal of 1305842490 is 942485031.

1305842490 is a `hidden beast` number, since 1 + 30 + 584 + 2 + 49 + 0 = 666.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 164844 + ... + 172583.

It is an arithmetic number, because the mean of its divisors is an integer number (72378306).

Almost surely, 21305842490 is an apocalyptic number.

1305842490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305842490 is an abundant number, since it is smaller than the sum of its proper divisors (2168316198).

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

1305842490 is a wasteful number, since it uses less digits than its factorization.

1305842490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337483 (or 337480 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1305842490 is about 36136.4426860199. The cubic root of 1305842490 is about 1093.0254275189.

The spelling of 1305842490 in words is "one billion, three hundred five million, eight hundred forty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 337427 674854 1012281 1687135 2024562 3036843 3374270 5061405 6073686 10122810 14509361 15184215 29018722 30368430 43528083 72546805 87056166 130584249 145093610 217640415 261168498 435280830 652921245 1305842490