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1306160 = 24529563
BaseRepresentation
bin100111110111000110000
32110100201022
410332320300
5313244120
643555012
714050022
oct4767060
92410638
101306160
11812379
1252ba68
1336969b
14260012
151ac025
hex13ee30

1306160 has 40 divisors (see below), whose sum is σ = 3147120. Its totient is φ = 503552.

The previous prime is 1306159. The next prime is 1306169. The reversal of 1306160 is 616031.

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

It is not an unprimeable number, because it can be changed into a prime (1306169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039 + ... + 2601.

It is an arithmetic number, because the mean of its divisors is an integer number (78678).

21306160 is an apocalyptic number.

1306160 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 1306160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573560).

1306160 is an abundant number, since it is smaller than the sum of its proper divisors (1840960).

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

1306160 is a wasteful number, since it uses less digits than its factorization.

1306160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1306160 is about 1142.8735713105. The cubic root of 1306160 is about 109.3114008488.

The spelling of 1306160 in words is "one million, three hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 563 580 1126 1160 2252 2320 2815 4504 5630 9008 11260 16327 22520 32654 45040 65308 81635 130616 163270 261232 326540 653080 1306160