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1350180 = 2232513577
BaseRepresentation
bin101001001101000100100
32112121002200
411021220210
5321201210
644534500
714322246
oct5115044
92477080
101350180
11842457
12551430
13383730
14272096
151ba0c0
hex149a24

1350180 has 72 divisors (see below), whose sum is σ = 4418232. Its totient is φ = 331776.

The previous prime is 1350133. The next prime is 1350187. The reversal of 1350180 is 810531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 1065024 = 534^2 + 1032^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2052 + ... + 2628.

21350180 is an apocalyptic number.

1350180 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 1350180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209116).

1350180 is an abundant number, since it is smaller than the sum of its proper divisors (3068052).

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

1350180 is a wasteful number, since it uses less digits than its factorization.

1350180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

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

The square root of 1350180 is about 1161.9724609473. The cubic root of 1350180 is about 110.5258567829.

The spelling of 1350180 in words is "one million, three hundred fifty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 577 585 780 1154 1170 1731 2308 2340 2885 3462 5193 5770 6924 7501 8655 10386 11540 15002 17310 20772 22503 25965 30004 34620 37505 45006 51930 67509 75010 90012 103860 112515 135018 150020 225030 270036 337545 450060 675090 1350180