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12902200 = 2352312081
BaseRepresentation
bin110001001101…
…111100111000
3220021111111021
4301031330320
511300332300
61140312224
7214444513
oct61157470
926244437
1012902200
117312683
1243a2674
13289984c
1419dbd7a
1511ecd1a
hexc4df38

12902200 has 48 divisors (see below), whose sum is σ = 30980160. Its totient is φ = 4992000.

The previous prime is 12902189. The next prime is 12902203. The reversal of 12902200 is 220921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12902203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5160 + ... + 7240.

It is an arithmetic number, because the mean of its divisors is an integer number (645420).

Almost surely, 212902200 is an apocalyptic number.

12902200 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 12902200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490080).

12902200 is an abundant number, since it is smaller than the sum of its proper divisors (18077960).

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

12902200 is a wasteful number, since it uses less digits than its factorization.

12902200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12902200 is about 3591.9632514824. The cubic root of 12902200 is about 234.5423415283.

The spelling of 12902200 in words is "twelve million, nine hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 2081 3100 4162 6200 8324 10405 16648 20810 41620 52025 64511 83240 104050 129022 208100 258044 322555 416200 516088 645110 1290220 1612775 2580440 3225550 6451100 12902200