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11473300 = 2252172397
BaseRepresentation
bin101011110001…
…000110010100
3210120220102001
4223301012110
510414121200
61045525044
7166343566
oct53610624
923526361
1011473300
116527073
123a13784
1324b9347
141749336
15101976a
hexaf1194

11473300 has 54 divisors (see below), whose sum is σ = 26514362. Its totient is φ = 4308480.

The previous prime is 11473291. The next prime is 11473309. The reversal of 11473300 is 337411.

It is an interprime number because it is at equal distance from previous prime (11473291) and next prime (11473309).

It can be written as a sum of positive squares in 9 ways, for example, as 264196 + 11209104 = 514^2 + 3348^2 .

It is a super-2 number, since 2×114733002 = 263273225780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11473309) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 28702 + ... + 29098.

Almost surely, 211473300 is an apocalyptic number.

11473300 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 11473300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257181).

11473300 is an abundant number, since it is smaller than the sum of its proper divisors (15041062).

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

11473300 is a wasteful number, since it uses less digits than its factorization.

11473300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 11473300 is about 3387.2260036791. The cubic root of 11473300 is about 225.5430504022.

The spelling of 11473300 in words is "eleven million, four hundred seventy-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 397 425 578 794 850 1156 1445 1588 1700 1985 2890 3970 5780 6749 7225 7940 9925 13498 14450 19850 26996 28900 33745 39700 67490 114733 134980 168725 229466 337450 458932 573665 674900 1147330 2294660 2868325 5736650 11473300