Search a number
-
+
1052300 = 225217619
BaseRepresentation
bin100000000111010001100
31222110111002
410000322030
5232133200
634315432
711641634
oct4007214
91873432
101052300
11659677
12428b78
132aac82
141d56c4
1515bbd5
hex100e8c

1052300 has 36 divisors (see below), whose sum is σ = 2421720. Its totient is φ = 395520.

The previous prime is 1052299. The next prime is 1052309. The reversal of 1052300 is 32501.

It is a super-2 number, since 2×10523002 = 2214670580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052309) 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 11 ways as a sum of consecutive naturals, for example, 1391 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (67270).

21052300 is an apocalyptic number.

1052300 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 1052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210860).

1052300 is an abundant number, since it is smaller than the sum of its proper divisors (1369420).

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

1052300 is a wasteful number, since it uses less digits than its factorization.

1052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1052300 is about 1025.8167477674. The cubic root of 1052300 is about 101.7137946273.

Adding to 1052300 its reverse (32501), we get a palindrome (1084801).

The spelling of 1052300 in words is "one million, fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 619 850 1238 1700 2476 3095 6190 10523 12380 15475 21046 30950 42092 52615 61900 105230 210460 263075 526150 1052300