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712680385 = 5617332009
BaseRepresentation
bin101010011110101…
…010001111000001
31211200000220200211
4222132222033001
52424421233020
6154415114121
723442453244
oct5236521701
91750026624
10712680385
1133632035a
1217a812941
13b485bc91
146a91925b
154287985a
hex2a7aa3c1

712680385 has 16 divisors (see below), whose sum is σ = 881171280. Its totient is φ = 553098240.

The previous prime is 712680361. The next prime is 712680389. The reversal of 712680385 is 583086217.

712680385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 309795201 + 402885184 = 17601^2 + 20072^2 .

It is not a de Polignac number, because 712680385 - 27 = 712680257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712680389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6261 + ... + 38269.

It is an arithmetic number, because the mean of its divisors is an integer number (55073205).

Almost surely, 2712680385 is an apocalyptic number.

It is an amenable number.

712680385 is a deficient number, since it is larger than the sum of its proper divisors (168490895).

712680385 is a wasteful number, since it uses less digits than its factorization.

712680385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32148.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 712680385 is about 26696.0743368758. The cubic root of 712680385 is about 893.2333616717.

The spelling of 712680385 in words is "seven hundred twelve million, six hundred eighty thousand, three hundred eighty-five".

Divisors: 1 5 61 73 305 365 4453 22265 32009 160045 1952549 2336657 9762745 11683285 142536077 712680385