Search a number
-
+
11000000 = 265611
BaseRepresentation
bin101001111101…
…100011000000
3202200212011102
4221331203000
510304000000
61031433532
7162332654
oct51754300
922625142
1011000000
116233510
1238258a8
132381a9b
141664a64
15e743d5
hexa7d8c0

11000000 has 98 divisors (see below), whose sum is σ = 29765244. Its totient is φ = 4000000.

The previous prime is 10999997. The next prime is 11000027. The reversal of 11000000 is 11.

Adding to 11000000 its reverse (11), we get a palindrome (11000011).

Multipling 11000000 by its reverse (11), we get a square (121000000 = 110002).

11000000 divided by its reverse (11) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 1 and 1000000, that added together give a palindrome (1000001).

It is a sliding number, since 11000000 = 1000000 + 10000000 and 1/1000000 + 1/10000000 = 0.0000011000000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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 13 ways as a sum of consecutive naturals, for example, 999995 + ... + 1000005.

Almost surely, 211000000 is an apocalyptic number.

11000000 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 11000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882622).

11000000 is an abundant number, since it is smaller than the sum of its proper divisors (18765244).

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

11000000 is an frugal number, since it uses more digits than its factorization.

11000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 11000000 is about 3316.6247903554. The cubic root of 11000000 is about 222.3980090569.

The spelling of 11000000 in words is "eleven million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3125 3520 4000 4400 5000 5500 6250 6875 8000 8800 10000 11000 12500 13750 15625 17600 20000 22000 25000 27500 31250 34375 40000 44000 50000 55000 62500 68750 88000 100000 110000 125000 137500 171875 200000 220000 250000 275000 343750 440000 500000 550000 687500 1000000 1100000 1375000 2200000 2750000 5500000 11000000