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11292078 = 2372973127
BaseRepresentation
bin101011000100…
…110110101110
3210020200211010
4223010312232
510342321303
61042010050
7164660340
oct53046656
923220733
1011292078
1164129a6
123946926
132454a05
1416dd290
15ed0c03
hexac4dae

11292078 has 64 divisors (see below), whose sum is σ = 27279360. Its totient is φ = 3048192.

The previous prime is 11292077. The next prime is 11292089. The reversal of 11292078 is 87029211.

It is a super-3 number, since 3×112920783 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292077) 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, 88851 + ... + 88977.

It is an arithmetic number, because the mean of its divisors is an integer number (426240).

Almost surely, 211292078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11292078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639680).

11292078 is an abundant number, since it is smaller than the sum of its proper divisors (15987282).

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

11292078 is a wasteful number, since it uses less digits than its factorization.

11292078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11292078 is about 3360.3687297676. The cubic root of 11292078 is about 224.3492505684.

The spelling of 11292078 in words is "eleven million, two hundred ninety-two thousand, seventy-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 73 87 127 146 174 203 219 254 381 406 438 511 609 762 889 1022 1218 1533 1778 2117 2667 3066 3683 4234 5334 6351 7366 9271 11049 12702 14819 18542 22098 25781 27813 29638 44457 51562 55626 64897 77343 88914 129794 154686 194691 268859 389382 537718 806577 1613154 1882013 3764026 5646039 11292078