Search a number
-
+
1486540440 = 23325721147163
BaseRepresentation
bin101100010011010…
…1100111010011000
310211121012002010100
41120212230322120
511021023243230
6403301415400
751560246100
oct13046547230
93747162110
101486540440
116a3127920
12355a0a560
131a8c8bb38
141015dc200
158a78b660
hex589ace98

1486540440 has 576 divisors, whose sum is σ = 6299804160. Its totient is φ = 300464640.

The previous prime is 1486540361. The next prime is 1486540463. The reversal of 1486540440 is 440456841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1486540395 and 1486540404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9119799 + ... + 9119961.

It is an arithmetic number, because the mean of its divisors is an integer number (10937160).

Almost surely, 21486540440 is an apocalyptic number.

1486540440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1486540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149902080).

1486540440 is an abundant number, since it is smaller than the sum of its proper divisors (4813263720).

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

1486540440 is a wasteful number, since it uses less digits than its factorization.

1486540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1486540440 is about 38555.6797372320. The cubic root of 1486540440 is about 1141.2800948353.

The spelling of 1486540440 in words is "one billion, four hundred eighty-six million, five hundred forty thousand, four hundred forty".