Search a number
-
+
1301000 = 23531301
BaseRepresentation
bin100111101101000001000
32110002122012
410331220020
5313113000
643515052
714026001
oct4755010
92402565
101301000
11809508
12528a88
1336722c
1425c1a8
151aa735
hex13da08

1301000 has 32 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 520000.

The previous prime is 1300997. The next prime is 1301011. The reversal of 1301000 is 1031.

It can be written as a sum of positive squares in 4 ways, for example, as 51076 + 1249924 = 226^2 + 1118^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350 + ... + 1650.

21301000 is an apocalyptic number.

1301000 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 1301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

1301000 is an abundant number, since it is smaller than the sum of its proper divisors (1745680).

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

1301000 is a wasteful number, since it uses less digits than its factorization.

1301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1301000 is about 1140.6138698087. The cubic root of 1301000 is about 109.1672655666.

Adding to 1301000 its reverse (1031), we get a palindrome (1302031).

The spelling of 1301000 in words is "one million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1301 2602 5204 6505 10408 13010 26020 32525 52040 65050 130100 162625 260200 325250 650500 1301000