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11284056 = 2333717439
BaseRepresentation
bin101011000010…
…111001011000
3210020021211000
4223002321120
510342042211
61041505000
7164625060
oct53027130
923207730
1011284056
116407973
123942160
132451174
1416da3a0
15ecd656
hexac2e58

11284056 has 128 divisors (see below), whose sum is σ = 38016000. Its totient is φ = 3027456.

The previous prime is 11284037. The next prime is 11284111. The reversal of 11284056 is 65048211.

It is a super-2 number, since 2×112840562 = 254659839622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 25485 + ... + 25923.

It is an arithmetic number, because the mean of its divisors is an integer number (297000).

Almost surely, 211284056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11284056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008000).

11284056 is an abundant number, since it is smaller than the sum of its proper divisors (26731944).

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

11284056 is a wasteful number, since it uses less digits than its factorization.

11284056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11284056 is about 3359.1748986916. The cubic root of 11284056 is about 224.2961113665.

It can be divided in two parts, 112840 and 56, that added together give a square (112896 = 3362).

The spelling of 11284056 in words is "eleven million, two hundred eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 439 459 476 504 612 714 756 878 918 952 1071 1224 1317 1428 1512 1756 1836 2142 2634 2856 3073 3213 3512 3672 3951 4284 5268 6146 6426 7463 7902 8568 9219 10536 11853 12292 12852 14926 15804 18438 22389 23706 24584 25704 27657 29852 31608 36876 44778 47412 52241 55314 59704 67167 73752 82971 89556 94824 104482 110628 134334 156723 165942 179112 201501 208964 221256 268668 313446 331884 403002 417928 470169 537336 626892 663768 806004 940338 1253784 1410507 1612008 1880676 2821014 3761352 5642028 11284056