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11285946 = 233773409
BaseRepresentation
bin101011000011…
…010110111010
3210020101102000
4223003112322
510342122241
61041521430
7164633430
oct53032672
923211360
1011285946
116409331
123943276
132451c99
1416dad50
15ecdeb6
hexac35ba

11285946 has 64 divisors (see below), whose sum is σ = 29126400. Its totient is φ = 3172608.

The previous prime is 11285941. The next prime is 11285983. The reversal of 11285946 is 64958211.

It is a super-3 number, since 3×112859463 (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 self number, because there is not a number n which added to its sum of digits gives 11285946.

It is not an unprimeable number, because it can be changed into a prime (11285941) 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, 27390 + ... + 27798.

It is an arithmetic number, because the mean of its divisors is an integer number (455100).

Almost surely, 211285946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11285946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563200).

11285946 is an abundant number, since it is smaller than the sum of its proper divisors (17840454).

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

11285946 is a wasteful number, since it uses less digits than its factorization.

11285946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11285946 is about 3359.4562059953. The cubic root of 11285946 is about 224.3086333410.

The spelling of 11285946 in words is "eleven million, two hundred eighty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 409 438 511 657 818 1022 1227 1314 1533 1971 2454 2863 3066 3681 3942 4599 5726 7362 8589 9198 11043 13797 17178 22086 25767 27594 29857 51534 59714 77301 89571 154602 179142 208999 268713 417998 537426 626997 806139 1253994 1612278 1880991 3761982 5642973 11285946