Search a number
-
+
1142560 = 25537193
BaseRepresentation
bin100010110111100100000
32011001022001
410112330200
5243030220
640253344
712466036
oct4267440
92131261
101142560
11710471
12471254
13310093
1421a556
1517880a
hex116f20

1142560 has 48 divisors (see below), whose sum is σ = 2786616. Its totient is φ = 442368.

The previous prime is 1142549. The next prime is 1142569. The reversal of 1142560 is 652411.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 150544 = 996^2 + 388^2 .

It is not an unprimeable number, because it can be changed into a prime (1142569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5824 + ... + 6016.

21142560 is an apocalyptic number.

1142560 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 1142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393308).

1142560 is an abundant number, since it is smaller than the sum of its proper divisors (1644056).

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

1142560 is a wasteful number, since it uses less digits than its factorization.

1142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1142560 is about 1068.9059827693. The cubic root of 1142560 is about 104.5425297916.

Adding to 1142560 its reverse (652411), we get a palindrome (1794971).

The spelling of 1142560 in words is "one million, one hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 193 296 370 386 592 740 772 965 1184 1480 1544 1930 2960 3088 3860 5920 6176 7141 7720 14282 15440 28564 30880 35705 57128 71410 114256 142820 228512 285640 571280 1142560