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1297200 = 243522347
BaseRepresentation
bin100111100101100110000
32102220102110
410330230300
5313002300
643445320
714011632
oct4745460
92386373
101297200
11806673
12526840
13365598
1425aa52
151a9550
hex13cb30

1297200 has 120 divisors (see below), whose sum is σ = 4428288. Its totient is φ = 323840.

The previous prime is 1297193. The next prime is 1297201. The reversal of 1297200 is 27921.

It is a happy number.

1297200 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1297201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27577 + ... + 27623.

21297200 is an apocalyptic number.

1297200 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 1297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214144).

1297200 is an abundant number, since it is smaller than the sum of its proper divisors (3131088).

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

1297200 is a wasteful number, since it uses less digits than its factorization.

1297200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1297200 is about 1138.9468819923. The cubic root of 1297200 is about 109.0608755707.

It can be divided in two parts, 12 and 97200, that multiplied together give a square (1166400 = 10802).

The spelling of 1297200 in words is "one million, two hundred ninety-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 47 48 50 60 69 75 80 92 94 100 115 120 138 141 150 184 188 200 230 235 240 276 282 300 345 368 376 400 460 470 552 564 575 600 690 705 752 920 940 1081 1104 1128 1150 1175 1200 1380 1410 1725 1840 1880 2162 2256 2300 2350 2760 2820 3243 3450 3525 3760 4324 4600 4700 5405 5520 5640 6486 6900 7050 8648 9200 9400 10810 11280 12972 13800 14100 16215 17296 18800 21620 25944 27025 27600 28200 32430 43240 51888 54050 56400 64860 81075 86480 108100 129720 162150 216200 259440 324300 432400 648600 1297200