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12142242 = 2327293323
BaseRepresentation
bin101110010100…
…011010100010
3211211220000200
4232110122202
511102022432
61112130030
7205131060
oct56243242
924756020
1012142242
116943712
124096916
132691978
141881030
1510eca7c
hexb946a2

12142242 has 48 divisors (see below), whose sum is σ = 31112640. Its totient is φ = 3348576.

The previous prime is 12142237. The next prime is 12142261. The reversal of 12142242 is 24224121.

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

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 1993 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (648180).

Almost surely, 212142242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556320).

12142242 is an abundant number, since it is smaller than the sum of its proper divisors (18970398).

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

12142242 is a wasteful number, since it uses less digits than its factorization.

12142242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3364 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12142242 is about 3484.5719966733. The cubic root of 12142242 is about 229.8438890237.

Adding to 12142242 its reverse (24224121), we get a palindrome (36366363).

The spelling of 12142242 in words is "twelve million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3323 3654 6646 9969 19938 23261 29907 46522 59814 69783 96367 139566 192734 209349 289101 418698 578202 674569 867303 1349138 1734606 2023707 4047414 6071121 12142242