Search a number
-
+
5480960 = 2952141
BaseRepresentation
bin10100111010001000000000
3101022110110112
4110322020000
52400342320
6313250452
764405322
oct24721000
911273415
105480960
113103a21
121a03a28
13119b994
14a29612
15733ec5
hex53a200

5480960 has 40 divisors (see below), whose sum is σ = 13147596. Its totient is φ = 2191360.

The previous prime is 5480957. The next prime is 5480963. The reversal of 5480960 is 690845.

It is an interprime number because it is at equal distance from previous prime (5480957) and next prime (5480963).

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 246016 = 2288^2 + 496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5480963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1490 + ... + 3630.

Almost surely, 25480960 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 5480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573798).

5480960 is an abundant number, since it is smaller than the sum of its proper divisors (7666636).

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

5480960 is an equidigital number, since it uses as much as digits as its factorization.

5480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5480960 is about 2341.1450190025. The cubic root of 5480960 is about 176.3134908659.

The spelling of 5480960 in words is "five million, four hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2141 2560 4282 8564 10705 17128 21410 34256 42820 68512 85640 137024 171280 274048 342560 548096 685120 1096192 1370240 2740480 5480960