Search a number
-
+
1365808041 = 3313291091231
BaseRepresentation
bin101000101101000…
…1001001110101001
310112012000020102000
41101122021032221
510244121324131
6343310001213
745563114433
oct12132111651
93465006360
101365808041
11640a65884
123214a6209
13189c69750
14cd571653
157ed8dce6
hex516893a9

1365808041 has 64 divisors (see below), whose sum is σ = 2276736000. Its totient is φ = 803416320.

The previous prime is 1365808019. The next prime is 1365808069. The reversal of 1365808041 is 1408085631.

1365808041 is a `hidden beast` number, since 1 + 36 + 580 + 8 + 0 + 41 = 666.

It is not a de Polignac number, because 1365808041 - 26 = 1365807977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1365807987 and 1365808005.

It is not an unprimeable number, because it can be changed into a prime (1365808001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1108896 + ... + 1110126.

It is an arithmetic number, because the mean of its divisors is an integer number (35574000).

Almost surely, 21365808041 is an apocalyptic number.

It is an amenable number.

1365808041 is a deficient number, since it is larger than the sum of its proper divisors (910927959).

1365808041 is a wasteful number, since it uses less digits than its factorization.

1365808041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1365808041 is about 36956.8402464280. The cubic root of 1365808041 is about 1109.5065959039.

The spelling of 1365808041 in words is "one billion, three hundred sixty-five million, eight hundred eight thousand, forty-one".

Divisors: 1 3 9 13 27 29 39 87 109 117 261 327 351 377 783 981 1131 1231 1417 2943 3161 3393 3693 4251 9483 10179 11079 12753 16003 28449 33237 35699 38259 41093 48009 85347 107097 123279 134179 144027 321291 369837 402537 432081 464087 963873 1109511 1207611 1392261 1744327 3622833 3891191 4176783 5232981 11673573 12530349 15698943 35020719 47096829 50585483 105062157 151756449 455269347 1365808041