Search a number
-
+
1052560 = 24559223
BaseRepresentation
bin100000000111110010000
31222110211201
410000332100
5232140220
634320544
711642455
oct4007620
91873751
101052560
11659893
12429154
132ab122
141d582c
1515bd0a
hex100f90

1052560 has 40 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 412032.

The previous prime is 1052551. The next prime is 1052561. The reversal of 1052560 is 652501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10525602 = 2215765107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052561) 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, 4609 + ... + 4831.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

21052560 is an apocalyptic number.

1052560 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 1052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

1052560 is an abundant number, since it is smaller than the sum of its proper divisors (1447280).

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

1052560 is a wasteful number, since it uses less digits than its factorization.

1052560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1052560 is about 1025.9434682281. The cubic root of 1052560 is about 101.7221710120.

It can be divided in two parts, 10525 and 60, that added together give a triangular number (10585 = T145).

The spelling of 1052560 in words is "one million, fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 223 236 295 446 472 590 892 944 1115 1180 1784 2230 2360 3568 4460 4720 8920 13157 17840 26314 52628 65785 105256 131570 210512 263140 526280 1052560