Search a number
-
+
1164538640 = 24514556733
BaseRepresentation
bin100010101101001…
…0111001100010000
310000011021200200202
41011122113030100
54341110214030
6311320034332
740600262246
oct10532271420
93004250622
101164538640
11548396131
122860029a8
13157359725
14b093c796
156c383745
hex45697310

1164538640 has 20 divisors (see below), whose sum is σ = 2707552524. Its totient is φ = 465815424.

The previous prime is 1164538619. The next prime is 1164538643. The reversal of 1164538640 is 468354611.

It can be written as a sum of positive squares in 2 ways, for example, as 672053776 + 492484864 = 25924^2 + 22192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1164538594 and 1164538603.

It is not an unprimeable number, because it can be changed into a prime (1164538643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7278287 + ... + 7278446.

Almost surely, 21164538640 is an apocalyptic number.

1164538640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164538640 is an abundant number, since it is smaller than the sum of its proper divisors (1543013884).

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

1164538640 is a wasteful number, since it uses less digits than its factorization.

1164538640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14556746 (or 14556740 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1164538640 is about 34125.3372144511. The cubic root of 1164538640 is about 1052.0861442563.

The spelling of 1164538640 in words is "one billion, one hundred sixty-four million, five hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14556733 29113466 58226932 72783665 116453864 145567330 232907728 291134660 582269320 1164538640