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11036142 = 2331379199
BaseRepresentation
bin101010000110…
…010111101110
3202202200202000
4222012113232
510311124032
61032313130
7162543225
oct52062756
922680660
1011036142
116258687
1238427a6
132395380
141673cbc
15e7ee7c
hexa865ee

11036142 has 64 divisors (see below), whose sum is σ = 26880000. Its totient is φ = 3335904.

The previous prime is 11036119. The next prime is 11036143. The reversal of 11036142 is 24163011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11036143) 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 31 ways as a sum of consecutive naturals, for example, 55359 + ... + 55557.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 211036142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11036142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440000).

11036142 is an abundant number, since it is smaller than the sum of its proper divisors (15843858).

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

11036142 is a wasteful number, since it uses less digits than its factorization.

11036142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11036142 is about 3322.0689336617. The cubic root of 11036142 is about 222.6413157740.

Adding to 11036142 its reverse (24163011), we get a palindrome (35199153).

The spelling of 11036142 in words is "eleven million, thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 158 199 234 237 351 398 474 597 702 711 1027 1194 1422 1791 2054 2133 2587 3081 3582 4266 5174 5373 6162 7761 9243 10746 15522 15721 18486 23283 27729 31442 46566 47163 55458 69849 94326 139698 141489 204373 282978 408746 424467 613119 848934 1226238 1839357 3678714 5518071 11036142