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742122 = 236509
BaseRepresentation
bin10110101001011101010
31101201000000
42311023222
5142221442
623523430
76210423
oct2651352
91351000
10742122
11467627
122b9576
131cca34
1415464a
15e9d4c
hexb52ea

742122 has 28 divisors (see below), whose sum is σ = 1672290. Its totient is φ = 246888.

The previous prime is 742117. The next prime is 742127. The reversal of 742122 is 221247.

It is an interprime number because it is at equal distance from previous prime (742117) and next prime (742127).

It can be written as a sum of positive squares in only one way, i.e., 531441 + 210681 = 729^2 + 459^2 .

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 = 742095 and 742104.

It is not an unprimeable number, because it can be changed into a prime (742127) by changing a digit.

742122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1204 + ... + 1712.

2742122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836145).

742122 is an abundant number, since it is smaller than the sum of its proper divisors (930168).

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

742122 is an equidigital number, since it uses as much as digits as its factorization.

742122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 514 counting only the distinct ones).

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

The square root of 742122 is about 861.4650312114. The cubic root of 742122 is about 90.5367920163.

Adding to 742122 its reverse (221247), we get a palindrome (963369).

The spelling of 742122 in words is "seven hundred forty-two thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 509 729 1018 1458 1527 3054 4581 9162 13743 27486 41229 82458 123687 247374 371061 742122