Search a number
1139040 = 253257113
BaseRepresentation
bin100010110000101100000
32010212110200
410112011200
5242422130
640225200
712452550
oct4260540
92125420
101139040
11708861
1246b200
1330b5b6
14219160
15177760
hex116160

1139040 has 144 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 258048.

The previous prime is 1139011. The next prime is 1139041. The reversal of 1139040 is 409311.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1139041) 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 23 ways as a sum of consecutive naturals, for example, 10024 + ... + 10136.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

21139040 is an apocalyptic number.

1139040 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 1139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784).

1139040 is an abundant number, since it is smaller than the sum of its proper divisors (3342528).

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

1139040 is a wasteful number, since it uses less digits than its factorization.

1139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1139040 is about 1067.2581693292. The cubic root of 1139040 is about 104.4350611090.

The spelling of 1139040 in words is "one million, one hundred thirty-nine thousand, forty".