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1106397 = 32269457
BaseRepresentation
bin100001110000111011101
32002012200200
410032013131
5240401042
635414113
712255435
oct4160735
92065620
101106397
11696286
12454339
132c9796
1420b2c5
1516cc4c
hex10e1dd

1106397 has 12 divisors (see below), whose sum is σ = 1607580. Its totient is φ = 733248.

The previous prime is 1106381. The next prime is 1106401. The reversal of 1106397 is 7936011.

It can be written as a sum of positive squares in 2 ways, for example, as 488601 + 617796 = 699^2 + 786^2 .

It is not a de Polignac number, because 1106397 - 24 = 1106381 is a prime.

It is a super-2 number, since 2×11063972 = 2448228643218, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 1 + 0 + 67 + 37 + 93 + 77 .

1106397 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1106397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106317) 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 11 ways as a sum of consecutive naturals, for example, 2193 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (133965).

21106397 is an apocalyptic number.

It is an amenable number.

1106397 is a deficient number, since it is larger than the sum of its proper divisors (501183).

1106397 is a wasteful number, since it uses less digits than its factorization.

1106397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1106397 is about 1051.8540773320. The cubic root of 1106397 is about 103.4277308280.

The spelling of 1106397 in words is "one million, one hundred six thousand, three hundred ninety-seven".

Divisors: 1 3 9 269 457 807 1371 2421 4113 122933 368799 1106397