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1421200 = 2452111719
BaseRepresentation
bin101011010111110010000
32200012112001
411122332100
5330434300
650243344
715036304
oct5327620
92605461
101421200
11890850
12586554
133a9b61
1428dd04
151d116a
hex15af90

1421200 has 120 divisors (see below), whose sum is σ = 4151520. Its totient is φ = 460800.

The previous prime is 1421191. The next prime is 1421213. The reversal of 1421200 is 21241.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74791 + ... + 74809.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

21421200 is an apocalyptic number.

1421200 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 1421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075760).

1421200 is an abundant number, since it is smaller than the sum of its proper divisors (2730320).

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

1421200 is a wasteful number, since it uses less digits than its factorization.

1421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1421200 is about 1192.1409312661. The cubic root of 1421200 is about 112.4307392613.

Adding to 1421200 its reverse (21241), we get a palindrome (1442441).

It can be divided in two parts, 1 and 421200, that added together give a square (421201 = 6492).

The spelling of 1421200 in words is "one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 19 20 22 25 34 38 40 44 50 55 68 76 80 85 88 95 100 110 136 152 170 176 187 190 200 209 220 272 275 304 323 340 374 380 400 418 425 440 475 550 646 680 748 760 836 850 880 935 950 1045 1100 1292 1360 1496 1520 1615 1672 1700 1870 1900 2090 2200 2584 2992 3230 3344 3400 3553 3740 3800 4180 4400 4675 5168 5225 6460 6800 7106 7480 7600 8075 8360 9350 10450 12920 14212 14960 16150 16720 17765 18700 20900 25840 28424 32300 35530 37400 41800 56848 64600 71060 74800 83600 88825 129200 142120 177650 284240 355300 710600 1421200