Search a number
-
+
1321200 = 243252367
BaseRepresentation
bin101000010100011110000
32111010100100
411002203300
5314234300
644152400
714141616
oct5024360
92433310
101321200
11822701
12538700
1337349a
142656b6
151b1700
hex1428f0

1321200 has 90 divisors (see below), whose sum is σ = 4597424. Its totient is φ = 351360.

The previous prime is 1321193. The next prime is 1321213. The reversal of 1321200 is 21231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3417 + ... + 3783.

21321200 is an apocalyptic number.

1321200 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 1321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298712).

1321200 is an abundant number, since it is smaller than the sum of its proper divisors (3276224).

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

1321200 is a wasteful number, since it uses less digits than its factorization.

1321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1321200 is about 1149.4346436401. The cubic root of 1321200 is about 109.7293622325.

Adding to 1321200 its reverse (21231), we get a palindrome (1342431).

It can be divided in two parts, 1321 and 200, that added together give a square (1521 = 392).

The spelling of 1321200 in words is "one million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 367 400 450 600 720 734 900 1101 1200 1468 1800 1835 2202 2936 3303 3600 3670 4404 5505 5872 6606 7340 8808 9175 11010 13212 14680 16515 17616 18350 22020 26424 27525 29360 33030 36700 44040 52848 55050 66060 73400 82575 88080 110100 132120 146800 165150 220200 264240 330300 440400 660600 1321200