Search a number
-
+
1125750 = 23531979
BaseRepresentation
bin100010010110101110110
32010012020110
410102311312
5242011000
640043450
712366033
oct4226566
92105213
101125750
116a987a
12463586
13305532
1421438a
15173850
hex112d76

1125750 has 64 divisors (see below), whose sum is σ = 2995200. Its totient is φ = 280800.

The previous prime is 1125739. The next prime is 1125763. The reversal of 1125750 is 575211.

1125750 is a nontrivial binomial coefficient, being equal to C(1501, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14211 + ... + 14289.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

21125750 is an apocalyptic number.

1125750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1125750 is the 1500-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497600).

1125750 is an abundant number, since it is smaller than the sum of its proper divisors (1869450).

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

1125750 is a wasteful number, since it uses less digits than its factorization.

1125750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1125750 is about 1061.0136662645. The cubic root of 1125750 is about 104.0272980610.

It can be divided in two parts, 1 and 125750, that added together give a triangular number (125751 = T501).

The spelling of 1125750 in words is "one million, one hundred twenty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 79 95 114 125 150 158 190 237 250 285 375 395 474 475 570 750 790 950 1185 1425 1501 1975 2370 2375 2850 3002 3950 4503 4750 5925 7125 7505 9006 9875 11850 14250 15010 19750 22515 29625 37525 45030 59250 75050 112575 187625 225150 375250 562875 1125750