Base | Representation |
---|---|
bin | 100000101101111000111 |
3 | 2000110121100 |
4 | 10011233013 |
5 | 233301241 |
6 | 34551143 |
7 | 12053400 |
oct | 4055707 |
9 | 2013540 |
10 | 1072071 |
11 | 672510 |
12 | 4384b3 |
13 | 2b6c80 |
14 | 1dc9a7 |
15 | 1629b6 |
hex | 105bc7 |
1072071 has 72 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 483840.
The previous prime is 1072039. The next prime is 1072103. The reversal of 1072071 is 1702701.
It is an interprime number because it is at equal distance from previous prime (1072039) and next prime (1072103).
It is not a de Polignac number, because 1072071 - 25 = 1072039 is a prime.
It is a super-2 number, since 2×10720712 = 2298672458082, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1072471) 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 71 ways as a sum of consecutive naturals, for example, 63055 + ... + 63071.
It is an arithmetic number, because the mean of its divisors is an integer number (31122).
21072071 is an apocalyptic number.
1072071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
1072071 is an abundant number, since it is smaller than the sum of its proper divisors (1168713).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072071 is a wasteful number, since it uses less digits than its factorization.
1072071 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 98, while the sum is 18.
The square root of 1072071 is about 1035.4086149922. The cubic root of 1072071 is about 102.3468583618.
Adding to 1072071 its reverse (1702701), we get a palindrome (2774772).
The spelling of 1072071 in words is "one million, seventy-two thousand, seventy-one".
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