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11253375 = 325371429
BaseRepresentation
bin101010111011…
…011001111111
3210011201201200
4222323121333
510340102000
61041110543
7164436450
oct52733177
923151650
1011253375
116396911
123928453
132440203
1416cd127
15ec4500
hexabb67f

11253375 has 48 divisors (see below), whose sum is σ = 23200320. Its totient is φ = 5140800.

The previous prime is 11253373. The next prime is 11253383. The reversal of 11253375 is 57335211.

It is not a de Polignac number, because 11253375 - 21 = 11253373 is a prime.

11253375 is a modest number, since divided by 3375 gives 1125 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7161 + ... + 8589.

It is an arithmetic number, because the mean of its divisors is an integer number (483340).

Almost surely, 211253375 is an apocalyptic number.

11253375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11253375 is an abundant number, since it is smaller than the sum of its proper divisors (11946945).

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

11253375 is a wasteful number, since it uses less digits than its factorization.

11253375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1444 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 11253375 is about 3354.6050438166. The cubic root of 11253375 is about 224.0926421113.

Adding to 11253375 its reverse (57335211), we get a palindrome (68588586).

It can be divided in two parts, 11253 and 375, that added together give a triangular number (11628 = T152).

The spelling of 11253375 in words is "eleven million, two hundred fifty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1429 1575 2625 4287 7145 7875 10003 12861 21435 30009 35725 50015 64305 90027 107175 150045 178625 250075 321525 450135 535875 750225 1250375 1607625 2250675 3751125 11253375