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1140480 = 2834511
BaseRepresentation
bin100010110011100000000
32010221110000
410112130000
5242443410
640240000
712460005
oct4263400
92127400
101140480
11709950
12470000
1330c153
142198ac
15177dc0
hex116700

1140480 has 180 divisors, whose sum is σ = 4451832. Its totient is φ = 276480.

The previous prime is 1140463. The next prime is 1140487. The reversal of 1140480 is 840411.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140487) 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 19 ways as a sum of consecutive naturals, for example, 103675 + ... + 103685.

21140480 is an apocalyptic number.

1140480 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 1140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225916).

1140480 is an abundant number, since it is smaller than the sum of its proper divisors (3311352).

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

1140480 is an equidigital number, since it uses as much as digits as its factorization.

1140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1140480 is about 1067.9325821418. The cubic root of 1140480 is about 104.4790522941.

Adding to 1140480 its reverse (840411), we get a palindrome (1980891).

The spelling of 1140480 in words is "one million, one hundred forty thousand, four hundred eighty".