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712422 = 23379167
BaseRepresentation
bin10101101111011100110
31100012021000
42231323212
5140244142
623134130
76025014
oct2557346
91305230
10712422
11447287
122a4346
131bc369
141478b4
15e114c
hexadee6

712422 has 32 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 233064.

The previous prime is 712417. The next prime is 712427. The reversal of 712422 is 224217.

It is an interprime number because it is at equal distance from previous prime (712417) and next prime (712427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 712395 and 712404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712427) 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 15 ways as a sum of consecutive naturals, for example, 4183 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2712422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

712422 is an abundant number, since it is smaller than the sum of its proper divisors (900378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

712422 is a wasteful number, since it uses less digits than its factorization.

712422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 712422 is about 844.0509463297. The cubic root of 712422 is about 89.3125400233.

Adding to 712422 its reverse (224217), we get a palindrome (936639).

The spelling of 712422 in words is "seven hundred twelve thousand, four hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 54 79 158 167 237 334 474 501 711 1002 1422 1503 2133 3006 4266 4509 9018 13193 26386 39579 79158 118737 237474 356211 712422