Search a number
-
+
4020345760 = 25525127161
BaseRepresentation
bin1110111110100001…
…1001101110100000
3101101011222201120211
43233220121232200
531213202031020
61502533543504
7201425242444
oct35750315640
911334881524
104020345760
111783420302
129424a4b94
134c0bc6322
142a1d2c824
15187e4385a
hexefa19ba0

4020345760 has 24 divisors (see below), whose sum is σ = 9498067236. Its totient is φ = 1608138240.

The previous prime is 4020345689. The next prime is 4020345767. The reversal of 4020345760 is 675430204.

It can be written as a sum of positive squares in 2 ways, for example, as 4012969104 + 7376656 = 63348^2 + 2716^2 .

It is not an unprimeable number, because it can be changed into a prime (4020345767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12563421 + ... + 12563740.

Almost surely, 24020345760 is an apocalyptic number.

4020345760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020345760 is an abundant number, since it is smaller than the sum of its proper divisors (5477721476).

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

4020345760 is a wasteful number, since it uses less digits than its factorization.

4020345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25127176 (or 25127168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 4020345760 is about 63406.1965426093. The cubic root of 4020345760 is about 1590.0879083287.

Adding to 4020345760 its reverse (675430204), we get a palindrome (4695775964).

The spelling of 4020345760 in words is "four billion, twenty million, three hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25127161 50254322 100508644 125635805 201017288 251271610 402034576 502543220 804069152 1005086440 2010172880 4020345760