Search a number
-
+
9885645 = 345711317
BaseRepresentation
bin100101101101…
…011111001101
3200121020120000
4211231133031
510012320040
6551514513
7150012060
oct45553715
920536500
109885645
115642260
123388a39
1320817c3
1414548d7
15d04130
hex96d7cd

9885645 has 80 divisors (see below), whose sum is σ = 22163328. Its totient is φ = 4095360.

The previous prime is 9885637. The next prime is 9885647. The reversal of 9885645 is 5465889.

9885645 is a `hidden beast` number, since 9 + 88 + 564 + 5 = 666.

It is not a de Polignac number, because 9885645 - 23 = 9885637 is a prime.

It is a super-3 number, since 3×98856453 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9885645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9885647) 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, 31027 + ... + 31343.

Almost surely, 29885645 is an apocalyptic number.

It is an amenable number.

9885645 is an abundant number, since it is smaller than the sum of its proper divisors (12277683).

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

9885645 is a wasteful number, since it uses less digits than its factorization.

9885645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 9885645 is about 3144.1445577454. The cubic root of 9885645 is about 214.6190839566.

The spelling of 9885645 in words is "nine million, eight hundred eighty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 317 385 405 495 567 693 891 945 951 1155 1485 1585 2079 2219 2835 2853 3465 3487 4455 4755 6237 6657 8559 10395 10461 11095 14265 17435 19971 24409 25677 31185 31383 33285 42795 52305 59913 73227 94149 99855 122045 128385 156915 179739 219681 282447 299565 366135 470745 659043 898695 1098405 1412235 1977129 3295215 9885645