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1310720 = 2185
BaseRepresentation
bin101000000000000000000
32110120222012
411000000000
5313420340
644032052
714066225
oct5000000
92416865
101310720
11815844
12532628
1336b798
1426194c
151ad565
hex140000

1310720 has 38 divisors (see below), whose sum is σ = 3145722. Its totient is φ = 524288.

The previous prime is 1310719. The next prime is 1310723. The reversal of 1310720 is 270131.

It can be written as a sum of positive squares in only one way, i.e., 1048576 + 262144 = 1024^2 + 512^2 .

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1310695 and 1310704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1310720 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262142 + ... + 262146.

21310720 is an apocalyptic number.

1310720 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 1310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572861).

1310720 is an abundant number, since it is smaller than the sum of its proper divisors (1835002).

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

1310720 is an frugal number, since it uses more digits than its factorization.

1310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1310720 is about 1144.8668044799. The cubic root of 1310720 is about 109.4384605873.

Adding to 1310720 its reverse (270131), we get a palindrome (1580851).

The spelling of 1310720 in words is "one million, three hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 65536 81920 131072 163840 262144 327680 655360 1310720