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742112 = 2573313
BaseRepresentation
bin10110101001011100000
31101200222122
42311023200
5142221422
623523412
76210410
oct2651340
91350878
10742112
11467618
122b9568
131cca27
14154640
15e9d42
hexb52e0

742112 has 24 divisors (see below), whose sum is σ = 1670256. Its totient is φ = 317952.

The previous prime is 742111. The next prime is 742117. The reversal of 742112 is 211247.

Adding to 742112 its reverse (211247), we get a palindrome (953359).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742112.

It is not an unprimeable number, because it can be changed into a prime (742111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1433 + ... + 1880.

It is an arithmetic number, because the mean of its divisors is an integer number (69594).

2742112 is an apocalyptic number.

It is an amenable number.

742112 is an abundant number, since it is smaller than the sum of its proper divisors (928144).

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

742112 is a wasteful number, since it uses less digits than its factorization.

742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3322 counting only the distinct ones).

The product of its digits is 112, while the sum is 17.

The square root of 742112 is about 861.4592271257. The cubic root of 742112 is about 90.5363853572.

The spelling of 742112 in words is "seven hundred forty-two thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3313 6626 13252 23191 26504 46382 53008 92764 106016 185528 371056 742112