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12163400 = 235261997
BaseRepresentation
bin101110011001…
…100101001000
3211212222001022
4232121211020
511103212100
61112412012
7205246544
oct56314510
924788038
1012163400
1169585a7
1240a7008
13269b4a2
141888a24
151103e85
hexb99948

12163400 has 48 divisors (see below), whose sum is σ = 28772340. Its totient is φ = 4780800.

The previous prime is 12163399. The next prime is 12163409. The reversal of 12163400 is 436121.

It can be written as a sum of positive squares in 6 ways, for example, as 3247204 + 8916196 = 1802^2 + 2986^2 .

It is not an unprimeable number, because it can be changed into a prime (12163409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11702 + ... + 12698.

Almost surely, 212163400 is an apocalyptic number.

12163400 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 12163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386170).

12163400 is an abundant number, since it is smaller than the sum of its proper divisors (16608940).

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

12163400 is a wasteful number, since it uses less digits than its factorization.

12163400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 12163400 is about 3487.6066291943. The cubic root of 12163400 is about 229.9773134523.

Adding to 12163400 its reverse (436121), we get a palindrome (12599521).

The spelling of 12163400 in words is "twelve million, one hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 997 1220 1525 1994 2440 3050 3988 4985 6100 7976 9970 12200 19940 24925 39880 49850 60817 99700 121634 199400 243268 304085 486536 608170 1216340 1520425 2432680 3040850 6081700 12163400