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11253500 = 225371317
BaseRepresentation
bin101010111011…
…011011111100
3210011201220022
4222323123330
510340103000
61041111312
7164440016
oct52733374
923151808
1011253500
116396a15
123928538
13244029b
1416cd1b6
15ec4585
hexabb6fc

11253500 has 48 divisors (see below), whose sum is σ = 25002432. Its totient is φ = 4424000.

The previous prime is 11253499. The next prime is 11253503. The reversal of 11253500 is 535211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253503) 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, 35342 + ... + 35658.

It is an arithmetic number, because the mean of its divisors is an integer number (520884).

Almost surely, 211253500 is an apocalyptic number.

11253500 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 11253500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12501216).

11253500 is an abundant number, since it is smaller than the sum of its proper divisors (13748932).

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

11253500 is a wasteful number, since it uses less digits than its factorization.

11253500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 11253500 is about 3354.6236748703. The cubic root of 11253500 is about 224.0934718320.

Adding to 11253500 its reverse (535211), we get a palindrome (11788711).

The spelling of 11253500 in words is "eleven million, two hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 125 142 250 284 317 355 500 634 710 1268 1420 1585 1775 3170 3550 6340 7100 7925 8875 15850 17750 22507 31700 35500 39625 45014 79250 90028 112535 158500 225070 450140 562675 1125350 2250700 2813375 5626750 11253500