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9742122 = 23213173179
BaseRepresentation
bin100101001010…
…011100101010
3200022221200100
4211022130222
54443221442
6544450230
7145543455
oct45123452
920287610
109742122
115554445
123319976
132031390
14141849c
15cc684c
hex94a72a

9742122 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 2695680.

The previous prime is 9742121. The next prime is 9742147. The reversal of 9742122 is 2212479.

It is not an unprimeable number, because it can be changed into a prime (9742121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 123279 + ... + 123357.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 29742122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9742122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

9742122 is an abundant number, since it is smaller than the sum of its proper divisors (15417558).

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

9742122 is a wasteful number, since it uses less digits than its factorization.

9742122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 9742122 is about 3121.2372546796. The cubic root of 9742122 is about 213.5753801107.

The spelling of 9742122 in words is "nine million, seven hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 31 34 39 51 62 78 79 93 102 117 153 158 186 221 234 237 279 306 403 442 474 527 558 663 711 806 1027 1054 1209 1326 1343 1422 1581 1989 2054 2418 2449 2686 3081 3162 3627 3978 4029 4743 4898 6162 6851 7254 7347 8058 9243 9486 12087 13702 14694 17459 18486 20553 22041 24174 31837 34918 41106 41633 44082 52377 61659 63674 83266 95511 104754 123318 124899 157131 191022 249798 286533 314262 374697 541229 573066 749394 1082458 1623687 3247374 4871061 9742122