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1149040 = 24553271
BaseRepresentation
bin100011000100001110000
32011101012001
410120201300
5243232130
640343344
712523654
oct4304160
92141161
101149040
11715322
12474b54
13313009
1421ca64
1517a6ca
hex118870

1149040 has 40 divisors (see below), whose sum is σ = 2731968. Its totient is φ = 449280.

The previous prime is 1149037. The next prime is 1149053. The reversal of 1149040 is 409411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1148999 and 1149017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4105 + ... + 4375.

21149040 is an apocalyptic number.

1149040 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 1149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984).

1149040 is an abundant number, since it is smaller than the sum of its proper divisors (1582928).

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

1149040 is a wasteful number, since it uses less digits than its factorization.

1149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1149040 is about 1071.9328337167. The cubic root of 1149040 is about 104.7397941006.

Adding to 1149040 its product of nonzero digits (144), we get a square (1149184 = 10722).

The spelling of 1149040 in words is "one million, one hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 271 424 530 542 848 1060 1084 1355 2120 2168 2710 4240 4336 5420 10840 14363 21680 28726 57452 71815 114904 143630 229808 287260 574520 1149040