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1318423680 = 273257191721
BaseRepresentation
bin100111010010101…
…1000110010000000
310101212211212021200
41032211120302000
510200004024210
6334454221200
744446262550
oct11645306200
93355755250
101318423680
11617241252
12309654800
131801b8a72
14c7159160
157ab2e0c0
hex4e958c80

1318423680 has 384 divisors, whose sum is σ = 5480092800. Its totient is φ = 285327360.

The previous prime is 1318423657. The next prime is 1318423681. The reversal of 1318423680 is 863248131.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (1318423681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765220 + ... + 766940.

It is an arithmetic number, because the mean of its divisors is an integer number (14271075).

Almost surely, 21318423680 is an apocalyptic number.

1318423680 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 1318423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740046400).

1318423680 is an abundant number, since it is smaller than the sum of its proper divisors (4161669120).

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

1318423680 is a wasteful number, since it uses less digits than its factorization.

1318423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1318423680 is about 36310.1043788089. The cubic root of 1318423680 is about 1096.5244794711.

It can be divided in two parts, 13184 and 23680, that added together give a square (36864 = 1922).

The spelling of 1318423680 in words is "one billion, three hundred eighteen million, four hundred twenty-three thousand, six hundred eighty".