Search a number
-
+
5730144 = 25378527
BaseRepresentation
bin10101110110111101100000
3101210010021120
4111312331200
52431331034
6322452240
766463650
oct25667540
911703246
105730144
113264162
121b04080
131258224
14a92360
15782c49
hex576f60

5730144 has 48 divisors (see below), whose sum is σ = 17192448. Its totient is φ = 1636992.

The previous prime is 5730143. The next prime is 5730149. The reversal of 5730144 is 4410375.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3592 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (358176).

Almost surely, 25730144 is an apocalyptic number.

It is an amenable number.

5730144 is an abundant number, since it is smaller than the sum of its proper divisors (11462304).

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

5730144 is a wasteful number, since it uses less digits than its factorization.

5730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5730144 is about 2393.7719189597. The cubic root of 5730144 is about 178.9459383362.

The spelling of 5730144 in words is "five million, seven hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8527 17054 25581 34108 51162 59689 68216 102324 119378 136432 179067 204648 238756 272864 358134 409296 477512 716268 818592 955024 1432536 1910048 2865072 5730144