Search a number
-
+
5314004000 = 25531328501
BaseRepresentation
bin1001111001011110…
…10100010000100000
3111201100020101001222
410330233110100200
541340341112000
62235145314212
7245454201014
oct47457242040
914640211058
105314004000
112287686948
121043795968
13668c20886
14385a7c544
152117cea85
hex13cbd4420

5314004000 has 48 divisors (see below), whose sum is σ = 13056517656. Its totient is φ = 2125600000.

The previous prime is 5314003991. The next prime is 5314004009. The reversal of 5314004000 is 4004135.

It is an interprime number because it is at equal distance from previous prime (5314003991) and next prime (5314004009).

It can be written as a sum of positive squares in 4 ways, for example, as 593214736 + 4720789264 = 24356^2 + 68708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5314004000.

It is not an unprimeable number, because it can be changed into a prime (5314004009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660251 + ... + 668250.

Almost surely, 25314004000 is an apocalyptic number.

5314004000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5314004000 is an abundant number, since it is smaller than the sum of its proper divisors (7742513656).

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

5314004000 is a wasteful number, since it uses less digits than its factorization.

5314004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328526 (or 1328508 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5314004000 is about 72897.2153103258. The cubic root of 5314004000 is about 1745.0476584056.

Adding to 5314004000 its reverse (4004135), we get a palindrome (5318008135).

The spelling of 5314004000 in words is "five billion, three hundred fourteen million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 1328501 2657002 5314004 6642505 10628008 13285010 21256016 26570020 33212525 42512032 53140040 66425050 106280080 132850100 166062625 212560160 265700200 332125250 531400400 664250500 1062800800 1328501000 2657002000 5314004000