Search a number
-
+
1023431440 = 24512792893
BaseRepresentation
bin111101000000000…
…101001100010000
32122022202201000011
4331000011030100
54043444301230
6245315404304
734235011063
oct7500051420
92568681004
101023431440
11485778209
122468b3694
13134052445
1499cca8da
155ecade2a
hex3d005310

1023431440 has 20 divisors (see below), whose sum is σ = 2379478284. Its totient is φ = 409372544.

The previous prime is 1023431419. The next prime is 1023431443. The reversal of 1023431440 is 441343201.

It can be written as a sum of positive squares in 2 ways, for example, as 125350416 + 898081024 = 11196^2 + 29968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1023431443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6396367 + ... + 6396526.

Almost surely, 21023431440 is an apocalyptic number.

1023431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023431440 is an abundant number, since it is smaller than the sum of its proper divisors (1356046844).

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

1023431440 is a wasteful number, since it uses less digits than its factorization.

1023431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12792906 (or 12792900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1023431440 is about 31991.1150165167. The cubic root of 1023431440 is about 1007.7502583190.

Adding to 1023431440 its reverse (441343201), we get a palindrome (1464774641).

The spelling of 1023431440 in words is "one billion, twenty-three million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12792893 25585786 51171572 63964465 102343144 127928930 204686288 255857860 511715720 1023431440