Search a number
-
+
11092000 = 25534759
BaseRepresentation
bin101010010100…
…000000100000
3202212112100211
4222110000200
510314421000
61033423504
7163165123
oct52240040
922775324
1011092000
116296647
12386ab94
1323b491a
14168a3ba
15e917ba
hexa94020

11092000 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4268800.

The previous prime is 11091959. The next prime is 11092001. The reversal of 11092000 is 29011.

It is not an unprimeable number, because it can be changed into a prime (11092001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187971 + ... + 188029.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 211092000 is an apocalyptic number.

11092000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11092000 is an abundant number, since it is smaller than the sum of its proper divisors (17212640).

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

11092000 is an equidigital number, since it uses as much as digits as its factorization.

11092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 11092000 is about 3330.4654329388. The cubic root of 11092000 is about 223.0163071990.

The spelling of 11092000 in words is "eleven million, ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 59 80 94 100 118 125 160 188 200 235 236 250 295 376 400 470 472 500 590 752 800 940 944 1000 1175 1180 1475 1504 1880 1888 2000 2350 2360 2773 2950 3760 4000 4700 4720 5546 5875 5900 7375 7520 9400 9440 11092 11750 11800 13865 14750 18800 22184 23500 23600 27730 29500 37600 44368 47000 47200 55460 59000 69325 88736 94000 110920 118000 138650 188000 221840 236000 277300 346625 443680 554600 693250 1109200 1386500 2218400 2773000 5546000 11092000