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12298400 = 255215373
BaseRepresentation
bin101110111010…
…100010100000
3212010211020022
4232322202200
511122022100
61115333012
7206351252
oct56724240
925124208
1012298400
116a3aa74
124151168
132717a7a
1418c1cd2
15112de85
hexbba8a0

12298400 has 36 divisors (see below), whose sum is σ = 30025422. Its totient is φ = 4919040.

The previous prime is 12298379. The next prime is 12298417. The reversal of 12298400 is 489221.

It can be written as a sum of positive squares in 3 ways, for example, as 5180176 + 7118224 = 2276^2 + 2668^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12298400.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6887 + ... + 8486.

Almost surely, 212298400 is an apocalyptic number.

12298400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12298400 is an abundant number, since it is smaller than the sum of its proper divisors (17727022).

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

12298400 is a wasteful number, since it uses less digits than its factorization.

12298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15393 (or 15380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12298400 is about 3506.9074695521. The cubic root of 12298400 is about 230.8250144346.

The spelling of 12298400 in words is "twelve million, two hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15373 30746 61492 76865 122984 153730 245968 307460 384325 491936 614920 768650 1229840 1537300 2459680 3074600 6149200 12298400