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1106037 = 32177229
BaseRepresentation
bin100001110000001110101
32002012012100
410032001311
5240343122
635412313
712254412
oct4160165
92065170
101106037
11695a89
12454099
132c957a
1420b109
1516caac
hex10e075

1106037 has 12 divisors (see below), whose sum is σ = 1691820. Its totient is φ = 693888.

The previous prime is 1106029. The next prime is 1106069. The reversal of 1106037 is 7306011.

It can be written as a sum of positive squares in 2 ways, for example, as 1028196 + 77841 = 1014^2 + 279^2 .

It is not a de Polignac number, because 1106037 - 23 = 1106029 is a prime.

1106037 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3462 + ... + 3767.

It is an arithmetic number, because the mean of its divisors is an integer number (140985).

21106037 is an apocalyptic number.

1106037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1106037 is a deficient number, since it is larger than the sum of its proper divisors (585783).

1106037 is a wasteful number, since it uses less digits than its factorization.

1106037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1106037 is about 1051.6829370110. The cubic root of 1106037 is about 103.4165118225.

The spelling of 1106037 in words is "one million, one hundred six thousand, thirty-seven".

Divisors: 1 3 9 17 51 153 7229 21687 65061 122893 368679 1106037