[go: up one dir, main page]

Search a number
-
+
5004640 = 255311009
BaseRepresentation
bin10011000101110101100000
3100102021002001
4103011311200
52240122030
6255133344
760352534
oct23056540
910367061
105004640
112909073
121814254
131062c34
14943bc4
1568ccca
hex4c5d60

5004640 has 48 divisors (see below), whose sum is σ = 12216960. Its totient is φ = 1935360.

The previous prime is 5004611. The next prime is 5004653. The reversal of 5004640 is 464005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4456 + ... + 5464.

It is an arithmetic number, because the mean of its divisors is an integer number (254520).

Almost surely, 25004640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108480).

5004640 is an abundant number, since it is smaller than the sum of its proper divisors (7212320).

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

5004640 is a wasteful number, since it uses less digits than its factorization.

5004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5004640 is about 2237.1052724447. The cubic root of 5004640 is about 171.0504735698.

Adding to 5004640 its reverse (464005), we get a palindrome (5468645).

It can be divided in two parts, 50046 and 40, that added together give a triangular number (50086 = T316).

The spelling of 5004640 in words is "five million, four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1009 1240 2018 2480 4036 4960 5045 8072 10090 16144 20180 31279 32288 40360 62558 80720 125116 156395 161440 250232 312790 500464 625580 1000928 1251160 2502320 5004640