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1484421120 = 21133571359
BaseRepresentation
bin101100001111010…
…0111100000000000
310211110012101222000
41120132213200000
511020002433440
6403144144000
751533241240
oct13036474000
93743171860
101484421120
116a1a0a616
12355168000
131a86c92c0
14101209b20
158a4bd730
hex587a7800

1484421120 has 768 divisors, whose sum is σ = 6604416000. Its totient is φ = 307888128.

The previous prime is 1484421119. The next prime is 1484421157. The reversal of 1484421120 is 211244841.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25159651 + ... + 25159709.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 21484421120 is an apocalyptic number.

1484421120 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 1484421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

1484421120 is an abundant number, since it is smaller than the sum of its proper divisors (5119994880).

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

1484421120 is a wasteful number, since it uses less digits than its factorization.

1484421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1484421120 is about 38528.1860460624. The cubic root of 1484421120 is about 1140.7374729599.

Adding to 1484421120 its reverse (211244841), we get a palindrome (1695665961).

The spelling of 1484421120 in words is "one billion, four hundred eighty-four million, four hundred twenty-one thousand, one hundred twenty".