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1072071 = 3272111317
BaseRepresentation
bin100000101101111000111
32000110121100
410011233013
5233301241
634551143
712053400
oct4055707
92013540
101072071
11672510
124384b3
132b6c80
141dc9a7
151629b6
hex105bc7

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".

Divisors: 1 3 7 9 11 13 17 21 33 39 49 51 63 77 91 99 117 119 143 147 153 187 221 231 273 357 429 441 539 561 637 663 693 819 833 1001 1071 1287 1309 1547 1617 1683 1911 1989 2431 2499 3003 3927 4641 4851 5733 7007 7293 7497 9009 9163 10829 11781 13923 17017 21021 21879 27489 32487 51051 63063 82467 97461 119119 153153 357357 1072071