Search a number
-
+
1190240 = 25543173
BaseRepresentation
bin100100010100101100000
32020110200222
410202211200
5301041430
641302212
713055042
oct4424540
92213628
101190240
11743277
12494968
133289ac
1422da92
151879e5
hex122960

1190240 has 48 divisors (see below), whose sum is σ = 2893968. Its totient is φ = 462336.

The previous prime is 1190237. The next prime is 1190249. The reversal of 1190240 is 420911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190249) 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 7 ways as a sum of consecutive naturals, for example, 6794 + ... + 6966.

It is an arithmetic number, because the mean of its divisors is an integer number (60291).

21190240 is an apocalyptic number.

1190240 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 1190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446984).

1190240 is an abundant number, since it is smaller than the sum of its proper divisors (1703728).

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

1190240 is a wasteful number, since it uses less digits than its factorization.

1190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1190240 is about 1090.9812097374. The cubic root of 1190240 is about 105.9769737572.

The spelling of 1190240 in words is "one million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 173 215 344 346 430 688 692 860 865 1376 1384 1720 1730 2768 3440 3460 5536 6880 6920 7439 13840 14878 27680 29756 37195 59512 74390 119024 148780 238048 297560 595120 1190240