Search a number
-
+
11435985 = 3451117151
BaseRepresentation
bin101011100111…
…111111010001
3210112000020000
4223213333101
510411422420
61045040213
7166130031
oct53477721
923460200
1011435985
116501030
1239b6069
1324a5372
1417398c1
15100d690
hexae7fd1

11435985 has 80 divisors (see below), whose sum is σ = 23836032. Its totient is φ = 5184000.

The previous prime is 11435981. The next prime is 11436001. The reversal of 11435985 is 58953411.

It is not a de Polignac number, because 11435985 - 22 = 11435981 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11435981) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75660 + ... + 75810.

It is a vampire number, since it can be written as 13598415 (with its own digits).

Almost surely, 211435985 is an apocalyptic number.

11435985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11435985 is an abundant number, since it is smaller than the sum of its proper divisors (12400047).

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

11435985 is a wasteful number, since it uses less digits than its factorization.

11435985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 11435985 is about 3381.7133231544. The cubic root of 11435985 is about 225.2982710891.

The spelling of 11435985 in words is "eleven million, four hundred thirty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 151 153 165 187 255 297 405 453 459 495 561 755 765 891 935 1359 1377 1485 1661 1683 2265 2295 2567 2805 4077 4455 4983 5049 6795 6885 7701 8305 8415 12231 12835 14949 15147 20385 23103 24915 25245 28237 38505 44847 61155 69309 74745 75735 84711 115515 134541 141185 207927 224235 254133 346545 423555 672705 762399 1039635 1270665 2287197 3811995 11435985