Search a number
-
+
9845145 = 3653773
BaseRepresentation
bin100101100011…
…100110011001
3200112012000000
4211203212121
510010021040
6551003213
7146453022
oct45434631
920465000
109845145
115614892
123369509
13206923b
141443c49
15ce7130
hex963999

9845145 has 56 divisors (see below), whose sum is σ = 18441096. Its totient is φ = 5038848.

The previous prime is 9845141. The next prime is 9845161. The reversal of 9845145 is 5415489.

9845145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 6859161 = 1728^2 + 2619^2 .

It is not a de Polignac number, because 9845145 - 22 = 9845141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9845141) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 134829 + ... + 134901.

Almost surely, 29845145 is an apocalyptic number.

It is an amenable number.

9845145 is a deficient number, since it is larger than the sum of its proper divisors (8595951).

9845145 is an equidigital number, since it uses as much as digits as its factorization.

9845145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 9845145 is about 3137.6974041485. The cubic root of 9845145 is about 214.3255954343.

The spelling of 9845145 in words is "nine million, eight hundred forty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 37 45 73 81 111 135 185 219 243 333 365 405 555 657 729 999 1095 1215 1665 1971 2701 2997 3285 3645 4995 5913 8103 8991 9855 13505 14985 17739 24309 26973 29565 40515 44955 53217 72927 88695 121545 134865 218781 266085 364635 656343 1093905 1969029 3281715 9845145