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1316106 = 2321117223
BaseRepresentation
bin101000001010100001010
32110212100200
411001110022
5314103411
644113030
714121021
oct5012412
92425320
101316106
118198a0
12535776
1337107c
142638b8
151aee56
hex14150a

1316106 has 72 divisors (see below), whose sum is σ = 3448224. Its totient is φ = 359040.

The previous prime is 1316099. The next prime is 1316143. The reversal of 1316106 is 6016131.

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

It is a Curzon number.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57211 + ... + 57233.

It is an arithmetic number, because the mean of its divisors is an integer number (47892).

21316106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724112).

1316106 is an abundant number, since it is smaller than the sum of its proper divisors (2132118).

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

1316106 is a wasteful number, since it uses less digits than its factorization.

1316106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1316106 is about 1147.2166316786. The cubic root of 1316106 is about 109.5881569422.

The spelling of 1316106 in words is "one million, three hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 187 198 207 253 289 306 374 391 414 506 561 578 759 782 867 1122 1173 1518 1683 1734 2277 2346 2601 3179 3366 3519 4301 4554 5202 6358 6647 7038 8602 9537 12903 13294 19074 19941 25806 28611 38709 39882 57222 59823 73117 77418 119646 146234 219351 438702 658053 1316106