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12040000 = 2654743
BaseRepresentation
bin101101111011…
…011101000000
3211122200202221
4231323131000
511040240000
61110020424
7204224020
oct55733500
924580687
1012040000
116883915
124047714
13265727b
141855a80
1510cc61a
hexb7b740

12040000 has 140 divisors (see below), whose sum is σ = 34913824. Its totient is φ = 4032000.

The previous prime is 12039991. The next prime is 12040001. The reversal of 12040000 is 4021.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040001) 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, 279979 + ... + 280021.

Almost surely, 212040000 is an apocalyptic number.

12040000 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 12040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456912).

12040000 is an abundant number, since it is smaller than the sum of its proper divisors (22873824).

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

12040000 is an frugal number, since it uses more digits than its factorization.

12040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12040000 is about 3469.8703145795. The cubic root of 12040000 is about 229.1969473302.

Adding to 12040000 its reverse (4021), we get a palindrome (12044021).

The spelling of 12040000 in words is "twelve million, forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 50 56 64 70 80 86 100 112 125 140 160 172 175 200 215 224 250 280 301 320 344 350 400 430 448 500 560 602 625 688 700 800 860 875 1000 1075 1120 1204 1250 1376 1400 1505 1600 1720 1750 2000 2150 2240 2408 2500 2752 2800 3010 3440 3500 4000 4300 4375 4816 5000 5375 5600 6020 6880 7000 7525 8000 8600 8750 9632 10000 10750 11200 12040 13760 14000 15050 17200 17500 19264 20000 21500 24080 26875 28000 30100 34400 35000 37625 40000 43000 48160 53750 56000 60200 68800 70000 75250 86000 96320 107500 120400 140000 150500 172000 188125 215000 240800 280000 301000 344000 376250 430000 481600 602000 752500 860000 1204000 1505000 1720000 2408000 3010000 6020000 12040000