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706132629 = 322910924821
BaseRepresentation
bin101010000101101…
…011101010010101
31211012201020212100
4222011223222111
52421232221004
6154022512313
723333012466
oct5205535225
91735636770
10706132629
11332658994
12178595699
13b33a8877
1469ad2d6d
1541ed4739
hex2a16ba95

706132629 has 24 divisors (see below), whose sum is σ = 1064863800. Its totient is φ = 450334080.

The previous prime is 706132619. The next prime is 706132633. The reversal of 706132629 is 926231607.

706132629 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 4 ways, for example, as 61074225 + 645058404 = 7815^2 + 25398^2 .

It is not a de Polignac number, because 706132629 - 25 = 706132597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 706132593 and 706132602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706132619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16039 + ... + 40859.

It is an arithmetic number, because the mean of its divisors is an integer number (44369325).

Almost surely, 2706132629 is an apocalyptic number.

It is an amenable number.

706132629 is a deficient number, since it is larger than the sum of its proper divisors (358731171).

706132629 is a wasteful number, since it uses less digits than its factorization.

706132629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24965 (or 24962 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 706132629 is about 26573.1561731007. The cubic root of 706132629 is about 890.4894118393.

The spelling of 706132629 in words is "seven hundred six million, one hundred thirty-two thousand, six hundred twenty-nine".

Divisors: 1 3 9 29 87 109 261 327 981 3161 9483 24821 28449 74463 223389 719809 2159427 2705489 6478281 8116467 24349401 78459181 235377543 706132629