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12430000 = 245411113
BaseRepresentation
bin101111011010…
…101010110000
3212101111202101
4233122222300
511140230000
61122230144
7210440032
oct57325260
925344671
1012430000
11701a930
1241b5354
13276293b
141917c52
151157e6a
hexbdaab0

12430000 has 100 divisors (see below), whose sum is σ = 33120648. Its totient is φ = 4480000.

The previous prime is 12429983. The next prime is 12430001. The reversal of 12430000 is 3421.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12430001) 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 19 ways as a sum of consecutive naturals, for example, 109944 + ... + 110056.

Almost surely, 212430000 is an apocalyptic number.

12430000 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 12430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560324).

12430000 is an abundant number, since it is smaller than the sum of its proper divisors (20690648).

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

12430000 is a wasteful number, since it uses less digits than its factorization.

12430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12430000 is about 3525.6205127608. The cubic root of 12430000 is about 231.6454155296.

Adding to 12430000 its reverse (3421), we get a palindrome (12433421).

The spelling of 12430000 in words is "twelve million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 125 176 200 220 226 250 275 400 440 452 500 550 565 625 880 904 1000 1100 1130 1243 1250 1375 1808 2000 2200 2260 2486 2500 2750 2825 4400 4520 4972 5000 5500 5650 6215 6875 9040 9944 10000 11000 11300 12430 13750 14125 19888 22000 22600 24860 27500 28250 31075 45200 49720 55000 56500 62150 70625 99440 110000 113000 124300 141250 155375 226000 248600 282500 310750 497200 565000 621500 776875 1130000 1243000 1553750 2486000 3107500 6215000 12430000