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1036116 = 2232171693
BaseRepresentation
bin11111100111101010100
31221122021200
43330331110
5231123431
634112500
711543514
oct3747524
91848250
101036116
116484a4
1241b730
132a37b3
141cd844
15156ee6
hexfcf54

1036116 has 36 divisors (see below), whose sum is σ = 2774772. Its totient is φ = 324864.

The previous prime is 1036109. The next prime is 1036117. The reversal of 1036116 is 6116301.

It can be written as a sum of positive squares in 2 ways, for example, as 608400 + 427716 = 780^2 + 654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10361163 = 3336924614492426688, which contains 333 as substring.

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 (1036117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (77077).

21036116 is an apocalyptic number.

It is an amenable number.

1036116 is an abundant number, since it is smaller than the sum of its proper divisors (1738656).

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

1036116 is a wasteful number, since it uses less digits than its factorization.

1036116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1715 counting only the distinct ones).

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

The square root of 1036116 is about 1017.8978337731. The cubic root of 1036116 is about 101.1896576890.

The spelling of 1036116 in words is "one million, thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1693 3386 5079 6772 10158 15237 20316 28781 30474 57562 60948 86343 115124 172686 259029 345372 518058 1036116