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1300480 = 2115127
BaseRepresentation
bin100111101100000000000
32110001220221
410331200000
5313103410
643512424
714024326
oct4754000
92401827
101300480
11809085
12528714
13366c1c
1425bd16
151aa4da
hex13d800

1300480 has 48 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 516096.

The previous prime is 1300477. The next prime is 1300487. The reversal of 1300480 is 840031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10177 + ... + 10303.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

21300480 is an apocalyptic number.

1300480 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 1300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1300480 is an abundant number, since it is smaller than the sum of its proper divisors (1844480).

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

1300480 is an equidigital number, since it uses as much as digits as its factorization.

1300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1300480 is about 1140.3858995971. The cubic root of 1300480 is about 109.1527191810.

The spelling of 1300480 in words is "one million, three hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2048 2540 2560 4064 5080 5120 8128 10160 10240 16256 20320 32512 40640 65024 81280 130048 162560 260096 325120 650240 1300480