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1145800 = 235217337
BaseRepresentation
bin100010111101111001000
32011012202001
410113233020
5243131200
640320344
712511345
oct4275710
92135661
101145800
11712947
124730b4
133116b6
1421b7cc
1517976a
hex117bc8

1145800 has 48 divisors (see below), whose sum is σ = 2829060. Its totient is φ = 430080.

The previous prime is 1145797. The next prime is 1145801. The reversal of 1145800 is 85411.

It can be written as a sum of positive squares in 6 ways, for example, as 443556 + 702244 = 666^2 + 838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145801) 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 11 ways as a sum of consecutive naturals, for example, 3232 + ... + 3568.

21145800 is an apocalyptic number.

1145800 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 1145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414530).

1145800 is an abundant number, since it is smaller than the sum of its proper divisors (1683260).

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

1145800 is a wasteful number, since it uses less digits than its factorization.

1145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1145800 is about 1070.4204781300. The cubic root of 1145800 is about 104.6412549142.

The spelling of 1145800 in words is "one million, one hundred forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 337 340 425 674 680 850 1348 1685 1700 2696 3370 3400 5729 6740 8425 11458 13480 16850 22916 28645 33700 45832 57290 67400 114580 143225 229160 286450 572900 1145800