Search a number
-
+
1087580 = 225134789
BaseRepresentation
bin100001001100001011100
32001020212202
410021201130
5234300310
635151032
712146534
oct4114134
92036782
101087580
1168312a
12445478
132c1050
142044c4
151673a5
hex10985c

1087580 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 388608.

The previous prime is 1087561. The next prime is 1087589. The reversal of 1087580 is 857801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087589) 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, 12176 + ... + 12264.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21087580 is an apocalyptic number.

1087580 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 1087580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

1087580 is an abundant number, since it is smaller than the sum of its proper divisors (1452580).

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

1087580 is a wasteful number, since it uses less digits than its factorization.

1087580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 1087580 is about 1042.8710370894. The cubic root of 1087580 is about 102.8380273854.

The spelling of 1087580 in words is "one million, eighty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 89 94 130 178 188 235 260 356 445 470 611 890 940 1157 1222 1780 2314 2444 3055 4183 4628 5785 6110 8366 11570 12220 16732 20915 23140 41830 54379 83660 108758 217516 271895 543790 1087580