Search a number
-
+
1141080 = 233537257
BaseRepresentation
bin100010110100101011000
32010222021020
410112211120
5243003310
640242440
712461523
oct4264530
92128236
101141080
1170a346
12470420
1330c4c5
14219bba
15178170
hex116958

1141080 has 64 divisors (see below), whose sum is σ = 3529440. Its totient is φ = 294912.

The previous prime is 1141067. The next prime is 1141081. The reversal of 1141080 is 801411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4312 + ... + 4568.

21141080 is an apocalyptic number.

1141080 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 1141080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764720).

1141080 is an abundant number, since it is smaller than the sum of its proper divisors (2388360).

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

1141080 is a wasteful number, since it uses less digits than its factorization.

1141080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1141080 is about 1068.2134618137. The cubic root of 1141080 is about 104.4973710258.

Adding to 1141080 its reverse (801411), we get a palindrome (1942491).

The spelling of 1141080 in words is "one million, one hundred forty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 257 296 370 444 514 555 740 771 888 1028 1110 1285 1480 1542 2056 2220 2570 3084 3855 4440 5140 6168 7710 9509 10280 15420 19018 28527 30840 38036 47545 57054 76072 95090 114108 142635 190180 228216 285270 380360 570540 1141080