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712053 = 32611297
BaseRepresentation
bin10101101110101110101
31100011202100
42231311311
5140241203
623132313
76023646
oct2556565
91304670
10712053
11446a81
122a4099
131bc144
141476cd
15e0ea3
hexadd75

712053 has 12 divisors (see below), whose sum is σ = 1046188. Its totient is φ = 466560.

The previous prime is 712051. The next prime is 712067. The reversal of 712053 is 350217.

It can be written as a sum of positive squares in 2 ways, for example, as 400689 + 311364 = 633^2 + 558^2 .

It is not a de Polignac number, because 712053 - 21 = 712051 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712051) 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, 100 + ... + 1197.

2712053 is an apocalyptic number.

It is an amenable number.

712053 is a deficient number, since it is larger than the sum of its proper divisors (334135).

712053 is a wasteful number, since it uses less digits than its factorization.

712053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 712053 is about 843.8323293167. The cubic root of 712053 is about 89.2971175074.

The spelling of 712053 in words is "seven hundred twelve thousand, fifty-three".

Divisors: 1 3 9 61 183 549 1297 3891 11673 79117 237351 712053