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1315080 = 2332513281
BaseRepresentation
bin101000001000100001000
32110210221200
411001010020
5314040310
644104200
714115024
oct5010410
92423850
101315080
11819048
12535060
13370770
14263384
151ae9c0
hex141108

1315080 has 96 divisors (see below), whose sum is σ = 4619160. Its totient is φ = 322560.

The previous prime is 1315073. The next prime is 1315081. The reversal of 1315080 is 805131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 381924 = 966^2 + 618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1315081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4540 + ... + 4820.

21315080 is an apocalyptic number.

1315080 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 1315080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309580).

1315080 is an abundant number, since it is smaller than the sum of its proper divisors (3304080).

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

1315080 is a wasteful number, since it uses less digits than its factorization.

1315080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1315080 is about 1146.7693752451. The cubic root of 1315080 is about 109.5596722357.

The spelling of 1315080 in words is "one million, three hundred fifteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 281 312 360 390 468 520 562 585 780 843 936 1124 1170 1405 1560 1686 2248 2340 2529 2810 3372 3653 4215 4680 5058 5620 6744 7306 8430 10116 10959 11240 12645 14612 16860 18265 20232 21918 25290 29224 32877 33720 36530 43836 50580 54795 65754 73060 87672 101160 109590 131508 146120 164385 219180 263016 328770 438360 657540 1315080