Search a number
-
+
1491478560 = 2532511137243
BaseRepresentation
bin101100011100110…
…0010100000100000
310211221110221221200
41120321202200200
511023304303220
6403555321200
751650233665
oct13071424040
93757427850
101491478560
116a599aa10
123575b0200
131a9cca6c0
14102125a6c
158ae14890
hex58e62820

1491478560 has 288 divisors, whose sum is σ = 5980298688. Its totient is φ = 333711360.

The previous prime is 1491478537. The next prime is 1491478579. The reversal of 1491478560 is 658741941.

1491478560 is a `hidden beast` number, since 1 + 4 + 9 + 14 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202299 + ... + 209541.

It is an arithmetic number, because the mean of its divisors is an integer number (20764926).

Almost surely, 21491478560 is an apocalyptic number.

1491478560 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 1491478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990149344).

1491478560 is an abundant number, since it is smaller than the sum of its proper divisors (4488820128).

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

1491478560 is a wasteful number, since it uses less digits than its factorization.

1491478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1491478560 is about 38619.6654568628. The cubic root of 1491478560 is about 1142.5424327506.

The spelling of 1491478560 in words is "one billion, four hundred ninety-one million, four hundred seventy-eight thousand, five hundred sixty".