Search a number
-
+
5653440 = 2632513151
BaseRepresentation
bin10101100100001111000000
3101122020001200
4111210033000
52421402230
6321101200
766024222
oct25441700
911566050
105653440
113211571
121a87800
13122c340
14a72412
1576a160
hex5643c0

5653440 has 168 divisors, whose sum is σ = 21079968. Its totient is φ = 1382400.

The previous prime is 5653433. The next prime is 5653441. The reversal of 5653440 is 443565.

5653440 is a `hidden beast` number, since 5 + 653 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×56534402 = 63922767667200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5653441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37365 + ... + 37515.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 25653440 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 5653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539984).

5653440 is an abundant number, since it is smaller than the sum of its proper divisors (15426528).

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

5653440 is a wasteful number, since it uses less digits than its factorization.

5653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5653440 is about 2377.6963641306. The cubic root of 5653440 is about 178.1438890403.

It can be divided in two parts, 565 and 3440, that added together give a triangular number (4005 = T89).

The spelling of 5653440 in words is "five million, six hundred fifty-three thousand, four hundred forty".