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1141380 = 2232517373
BaseRepresentation
bin100010110101010000100
32010222200100
410112222010
5243011010
640244100
712462432
oct4265204
92128610
101141380
1170a599
12470630
1330c696
14219d52
151782c0
hex116a84

1141380 has 72 divisors (see below), whose sum is σ = 3675672. Its totient is φ = 285696.

The previous prime is 1141379. The next prime is 1141381. The reversal of 1141380 is 831411.

It is an interprime number because it is at equal distance from previous prime (1141379) and next prime (1141381).

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 887364 = 504^2 + 942^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1141381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874 + ... + 3246.

It is an arithmetic number, because the mean of its divisors is an integer number (51051).

21141380 is an apocalyptic number.

1141380 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 1141380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837836).

1141380 is an abundant number, since it is smaller than the sum of its proper divisors (2534292).

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

1141380 is a wasteful number, since it uses less digits than its factorization.

1141380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141380 is about 1068.3538739575. The cubic root of 1141380 is about 104.5065279836.

Adding to 1141380 its reverse (831411), we get a palindrome (1972791).

It can be divided in two parts, 1141 and 380, that added together give a square (1521 = 392).

The spelling of 1141380 in words is "one million, one hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 373 510 612 746 765 1020 1119 1492 1530 1865 2238 3060 3357 3730 4476 5595 6341 6714 7460 11190 12682 13428 16785 19023 22380 25364 31705 33570 38046 57069 63410 67140 76092 95115 114138 126820 190230 228276 285345 380460 570690 1141380