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1327200 = 25352779
BaseRepresentation
bin101000100000001100000
32111102120120
411010001200
5314432300
644240240
714165250
oct5040140
92442516
101327200
11827166
12540080
13376134
14267960
151b33a0
hex144060

1327200 has 144 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 299520.

The previous prime is 1327199. The next prime is 1327201. The reversal of 1327200 is 27231.

1327200 = 1132 + 1142 + ... + 1752.

It is an interprime number because it is at equal distance from previous prime (1327199) and next prime (1327201).

It is a super-2 number, since 2×13272002 = 3522919680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1327200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16761 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

21327200 is an apocalyptic number.

1327200 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 1327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

1327200 is an abundant number, since it is smaller than the sum of its proper divisors (3672480).

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

1327200 is a wasteful number, since it uses less digits than its factorization.

1327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1327200 is about 1152.0416659132. The cubic root of 1327200 is about 109.8952170227.

The spelling of 1327200 in words is "one million, three hundred twenty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 79 80 84 96 100 105 112 120 140 150 158 160 168 175 200 210 224 237 240 280 300 316 336 350 395 400 420 474 480 525 553 560 600 632 672 700 790 800 840 948 1050 1106 1120 1185 1200 1264 1400 1580 1659 1680 1896 1975 2100 2212 2370 2400 2528 2765 2800 3160 3318 3360 3792 3950 4200 4424 4740 5530 5600 5925 6320 6636 7584 7900 8295 8400 8848 9480 11060 11850 12640 13272 13825 15800 16590 16800 17696 18960 22120 23700 26544 27650 31600 33180 37920 41475 44240 47400 53088 55300 63200 66360 82950 88480 94800 110600 132720 165900 189600 221200 265440 331800 442400 663600 1327200