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1300180 = 225737251
BaseRepresentation
bin100111101011011010100
32110001111211
410331123110
5313101210
643511204
714023420
oct4753324
92401454
101300180
11808932
12528504
13366a4b
1425bb80
151aa38a
hex13d6d4

1300180 has 48 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 432000.

The previous prime is 1300153. The next prime is 1300181. The reversal of 1300180 is 810031.

It is a self number, because there is not a number n which added to its sum of digits gives 1300180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5055 + ... + 5305.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

21300180 is an apocalyptic number.

1300180 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 1300180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1300180 is an abundant number, since it is smaller than the sum of its proper divisors (1917356).

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

1300180 is a wasteful number, since it uses less digits than its factorization.

1300180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1300180 is about 1140.2543575887. The cubic root of 1300180 is about 109.1443252716.

The spelling of 1300180 in words is "one million, three hundred thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 251 259 370 502 518 740 1004 1036 1255 1295 1757 2510 2590 3514 5020 5180 7028 8785 9287 17570 18574 35140 37148 46435 65009 92870 130018 185740 260036 325045 650090 1300180