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1131300 = 223352419
BaseRepresentation
bin100010100001100100100
32010110212000
410110030210
5242200200
640125300
712421152
oct4241444
92113760
101131300
11702a65
12466830
13307c11
142163d2
15175300
hex114324

1131300 has 72 divisors (see below), whose sum is σ = 3645600. Its totient is φ = 300960.

The previous prime is 1131271. The next prime is 1131307. The reversal of 1131300 is 31311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 2909.

21131300 is an apocalyptic number.

1131300 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 1131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822800).

1131300 is an abundant number, since it is smaller than the sum of its proper divisors (2514300).

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

1131300 is a wasteful number, since it uses less digits than its factorization.

1131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1131300 is about 1063.6258740742. The cubic root of 1131300 is about 104.1979710359.

Adding to 1131300 its reverse (31311), we get a palindrome (1162611).

It can be divided in two parts, 1131 and 300, that added together give a triangular number (1431 = T53).

The spelling of 1131300 in words is "one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 419 450 540 675 838 900 1257 1350 1676 2095 2514 2700 3771 4190 5028 6285 7542 8380 10475 11313 12570 15084 18855 20950 22626 25140 31425 37710 41900 45252 56565 62850 75420 94275 113130 125700 188550 226260 282825 377100 565650 1131300