Search a number
-
+
5388040 = 235722749
BaseRepresentation
bin10100100011011100001000
3101010202000001
4110203130020
52334404130
6311252344
763540400
oct24433410
911122001
105388040
113050129
12197a0b4
1311685b8
14a03800
157166ca
hex523708

5388040 has 48 divisors (see below), whose sum is σ = 14107500. Its totient is φ = 1846656.

The previous prime is 5388023. The next prime is 5388041. The reversal of 5388040 is 408835.

It can be written as a sum of positive squares in 2 ways, for example, as 4955076 + 432964 = 2226^2 + 658^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5388041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586 + ... + 3334.

Almost surely, 25388040 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 5388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053750).

5388040 is an abundant number, since it is smaller than the sum of its proper divisors (8719460).

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

5388040 is a wasteful number, since it uses less digits than its factorization.

5388040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5388040 is about 2321.2151989852. The cubic root of 5388040 is about 175.3114453956.

The spelling of 5388040 in words is "five million, three hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2749 5498 10996 13745 19243 21992 27490 38486 54980 76972 96215 109960 134701 153944 192430 269402 384860 538804 673505 769720 1077608 1347010 2694020 5388040