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11245000 = 235413173
BaseRepresentation
bin101010111001…
…010111001000
3210011022020111
4222321113020
510334320000
61041004104
7164403154
oct52712710
923138214
1011245000
116390598
123923634
132439460
1416ca064
15ec1cba
hexab95c8

11245000 has 80 divisors (see below), whose sum is σ = 28537740. Its totient is φ = 4128000.

The previous prime is 11244997. The next prime is 11245001. The reversal of 11245000 is 54211.

11245000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 630436 + 10614564 = 794^2 + 3258^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11245001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64914 + ... + 65086.

Almost surely, 211245000 is an apocalyptic number.

11245000 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 11245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268870).

11245000 is an abundant number, since it is smaller than the sum of its proper divisors (17292740).

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

11245000 is a wasteful number, since it uses less digits than its factorization.

11245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11245000 is about 3353.3565274214. The cubic root of 11245000 is about 224.0370368181.

Adding to 11245000 its reverse (54211), we get a palindrome (11299211).

The spelling of 11245000 in words is "eleven million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 173 200 250 260 325 346 500 520 625 650 692 865 1000 1250 1300 1384 1625 1730 2249 2500 2600 3250 3460 4325 4498 5000 6500 6920 8125 8650 8996 11245 13000 16250 17300 17992 21625 22490 32500 34600 43250 44980 56225 65000 86500 89960 108125 112450 173000 216250 224900 281125 432500 449800 562250 865000 1124500 1405625 2249000 2811250 5622500 11245000