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11050000 = 24551317
BaseRepresentation
bin101010001001…
…110000010000
3202210101202021
4222021300100
510312100000
61032501224
7162631513
oct52116020
922711667
1011050000
116268035
12384a814
13239b780
141678d7a
15e8411a
hexa89c10

11050000 has 120 divisors (see below), whose sum is σ = 30513672. Its totient is φ = 3840000.

The previous prime is 11049991. The next prime is 11050007. The reversal of 11050000 is 5011.

It can be written as a sum of positive squares in 12 ways, for example, as 11048976 + 1024 = 3324^2 + 32^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11050007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649992 + ... + 650008.

Almost surely, 211050000 is an apocalyptic number.

11050000 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 11050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256836).

11050000 is an abundant number, since it is smaller than the sum of its proper divisors (19463672).

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

11050000 is an equidigital number, since it uses as much as digits as its factorization.

11050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 11050000 is about 3324.1540277189. The cubic root of 11050000 is about 222.7344664671.

Adding to 11050000 its reverse (5011), we get a palindrome (11055011).

The spelling of 11050000 in words is "eleven million, fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 125 130 136 170 200 208 221 250 260 272 325 340 400 425 442 500 520 625 650 680 850 884 1000 1040 1105 1250 1300 1360 1625 1700 1768 2000 2125 2210 2500 2600 3125 3250 3400 3536 4250 4420 5000 5200 5525 6250 6500 6800 8125 8500 8840 10000 10625 11050 12500 13000 16250 17000 17680 21250 22100 25000 26000 27625 32500 34000 40625 42500 44200 50000 53125 55250 65000 81250 85000 88400 106250 110500 130000 138125 162500 170000 212500 221000 276250 325000 425000 442000 552500 650000 690625 850000 1105000 1381250 2210000 2762500 5525000 11050000