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12400200 = 233252832
BaseRepresentation
bin101111010011…
…011001001000
3212022222212200
4233103121020
511133301300
61121440200
7210254121
oct57233110
925288780
1012400200
116aaa4aa
1241a0060
1327521c7
14190b048
15114e200
hexbd3648

12400200 has 108 divisors (see below), whose sum is σ = 42151785. Its totient is φ = 3266880.

The previous prime is 12400183. The next prime is 12400231. The reversal of 12400200 is 200421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12400200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12152196 + 248004 = 3486^2 + 498^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2490.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149359 + ... + 149441.

Almost surely, 212400200 is an apocalyptic number.

12400200 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 12400200

12400200 is an abundant number, since it is smaller than the sum of its proper divisors (29751585).

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

12400200 is a wasteful number, since it uses less digits than its factorization.

12400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12400200 is about 3521.3917703090. The cubic root of 12400200 is about 231.4601498486.

Adding to 12400200 its reverse (200421), we get a palindrome (12600621).

The spelling of 12400200 in words is "twelve million, four hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 83 90 100 120 150 166 180 200 225 249 300 332 360 415 450 498 600 664 747 830 900 996 1245 1494 1660 1800 1992 2075 2490 2988 3320 3735 4150 4980 5976 6225 6889 7470 8300 9960 12450 13778 14940 16600 18675 20667 24900 27556 29880 34445 37350 41334 49800 55112 62001 68890 74700 82668 103335 124002 137780 149400 165336 172225 206670 248004 275560 310005 344450 413340 496008 516675 620010 688900 826680 1033350 1240020 1377800 1550025 2066700 2480040 3100050 4133400 6200100 12400200