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1320080 = 24529569
BaseRepresentation
bin101000010010010010000
32111001210212
411002102100
5314220310
644143252
714135426
oct5022220
92431725
101320080
11821883
12537b28
13372b18
14265116
151b1205
hex142490

1320080 has 40 divisors (see below), whose sum is σ = 3180600. Its totient is φ = 508928.

The previous prime is 1320061. The next prime is 1320091. The reversal of 1320080 is 800231.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 1290496 = 172^2 + 1136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13200802 = 3485222412800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2036 + ... + 2604.

It is an arithmetic number, because the mean of its divisors is an integer number (79515).

21320080 is an apocalyptic number.

1320080 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 1320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590300).

1320080 is an abundant number, since it is smaller than the sum of its proper divisors (1860520).

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

1320080 is a wasteful number, since it uses less digits than its factorization.

1320080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1320080 is about 1148.9473443113. The cubic root of 1320080 is about 109.6983470873.

The spelling of 1320080 in words is "one million, three hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 569 580 1138 1160 2276 2320 2845 4552 5690 9104 11380 16501 22760 33002 45520 66004 82505 132008 165010 264016 330020 660040 1320080