Search a number
-
+
1075355440 = 24513441943
BaseRepresentation
bin100000000011000…
…1001111100110000
32202221110201100021
41000012021330300
54200242333230
6254412333224
735435241025
oct10006117460
92687421307
101075355440
11502012505
12260174214
13141a324c3
14a2b6554c
1564618c7a
hex40189f30

1075355440 has 20 divisors (see below), whose sum is σ = 2500201584. Its totient is φ = 430142144.

The previous prime is 1075355419. The next prime is 1075355447. The reversal of 1075355440 is 445535701.

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 = 1075355396 and 1075355405.

It is not an unprimeable number, because it can be changed into a prime (1075355447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6720892 + ... + 6721051.

Almost surely, 21075355440 is an apocalyptic number.

1075355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075355440 is an abundant number, since it is smaller than the sum of its proper divisors (1424846144).

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

1075355440 is a wasteful number, since it uses less digits than its factorization.

1075355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441956 (or 13441950 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 1075355440 is about 32792.6125827144. The cubic root of 1075355440 is about 1024.5126979706.

The spelling of 1075355440 in words is "one billion, seventy-five million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13441943 26883886 53767772 67209715 107535544 134419430 215071088 268838860 537677720 1075355440