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1141376 = 2737241
BaseRepresentation
bin100010110101010000000
32010222200012
410112222000
5243011001
640244052
712462425
oct4265200
92128605
101141376
1170a595
12470628
1330c692
14219d4c
151782bb
hex116a80

1141376 has 32 divisors (see below), whose sum is σ = 2344980. Its totient is φ = 552960.

The previous prime is 1141373. The next prime is 1141379. The reversal of 1141376 is 6731411.

It is an interprime number because it is at equal distance from previous prime (1141373) and next prime (1141379).

It can be written as a sum of positive squares in 2 ways, for example, as 1000000 + 141376 = 1000^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1141373) 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 3 ways as a sum of consecutive naturals, for example, 4616 + ... + 4856.

21141376 is an apocalyptic number.

1141376 is a gapful number since it is divisible by the number (16) 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 1141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172490).

1141376 is an abundant number, since it is smaller than the sum of its proper divisors (1203604).

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

1141376 is an equidigital number, since it uses as much as digits as its factorization.

1141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 1141376 is about 1068.3520019170. The cubic root of 1141376 is about 104.5064059014.

Adding to 1141376 its reverse (6731411), we get a palindrome (7872787).

The spelling of 1141376 in words is "one million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 241 296 482 592 964 1184 1928 2368 3856 4736 7712 8917 15424 17834 30848 35668 71336 142672 285344 570688 1141376