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1318380000 = 2535474373
BaseRepresentation
bin100111010010100…
…1110000111100000
310101212202122100220
41032211032013200
510200001130000
6334453243040
744446021320
oct11645160740
93355678326
101318380000
11617211453
12309633480
131801a1c12
14c7147280
157ab211a0
hex4e94e1e0

1318380000 has 480 divisors, whose sum is σ = 5126558976. Its totient is φ = 290304000.

The previous prime is 1318379977. The next prime is 1318380001. The reversal of 1318380000 is 838131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318380001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18059964 + ... + 18060036.

Almost surely, 21318380000 is an apocalyptic number.

1318380000 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 1318380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563279488).

1318380000 is an abundant number, since it is smaller than the sum of its proper divisors (3808178976).

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

1318380000 is an equidigital number, since it uses as much as digits as its factorization.

1318380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1318380000 is about 36309.5028883624. The cubic root of 1318380000 is about 1096.5123698791.

The spelling of 1318380000 in words is "one billion, three hundred eighteen million, three hundred eighty thousand".