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1201000 = 23531201
BaseRepresentation
bin100100101001101101000
32021000110111
410211031220
5301413000
641424104
713131313
oct4451550
92230414
101201000
11750369
1249b034
13330868
1423397a
1518acba
hex125368

1201000 has 32 divisors (see below), whose sum is σ = 2812680. Its totient is φ = 480000.

The previous prime is 1200989. The next prime is 1201001. The reversal of 1201000 is 1021.

It can be written as a sum of positive squares in 4 ways, for example, as 47524 + 1153476 = 218^2 + 1074^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

1201000 is an undulating number in base 7.

It is not an unprimeable number, because it can be changed into a prime (1201001) 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, 400 + ... + 1600.

21201000 is an apocalyptic number.

1201000 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 1201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406340).

1201000 is an abundant number, since it is smaller than the sum of its proper divisors (1611680).

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

1201000 is a wasteful number, since it uses less digits than its factorization.

1201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1201000 is about 1095.9014554238. The cubic root of 1201000 is about 106.2953670161.

Adding to 1201000 its reverse (1021), we get a palindrome (1202021).

The spelling of 1201000 in words is "one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1201 2402 4804 6005 9608 12010 24020 30025 48040 60050 120100 150125 240200 300250 600500 1201000