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12104000 = 26531789
BaseRepresentation
bin101110001011…
…000101000000
3211202221120022
4232023011000
511044312000
61111233012
7204611426
oct56130500
924687508
1012104000
116917a07
124078768
13267a43c
141871116
1510e1585
hexb8b140

12104000 has 112 divisors (see below), whose sum is σ = 32095440. Its totient is φ = 4505600.

The previous prime is 12103999. The next prime is 12104021. The reversal of 12104000 is 40121.

It can be written as a sum of positive squares in 8 ways, for example, as 4129024 + 7974976 = 2032^2 + 2824^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135956 + ... + 136044.

Almost surely, 212104000 is an apocalyptic number.

12104000 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 12104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047720).

12104000 is an abundant number, since it is smaller than the sum of its proper divisors (19991440).

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

12104000 is an equidigital number, since it uses as much as digits as its factorization.

12104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

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

The square root of 12104000 is about 3479.0803382503. The cubic root of 12104000 is about 229.6023374252.

Adding to 12104000 its reverse (40121), we get a palindrome (12144121).

It can be divided in two parts, 1210 and 4000, that multiplied together give a square (4840000 = 22002).

The spelling of 12104000 in words is "twelve million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 89 100 125 136 160 170 178 200 250 272 320 340 356 400 425 445 500 544 680 712 800 850 890 1000 1088 1360 1424 1513 1600 1700 1780 2000 2125 2225 2720 2848 3026 3400 3560 4000 4250 4450 5440 5696 6052 6800 7120 7565 8000 8500 8900 11125 12104 13600 14240 15130 17000 17800 22250 24208 27200 28480 30260 34000 35600 37825 44500 48416 60520 68000 71200 75650 89000 96832 121040 136000 142400 151300 178000 189125 242080 302600 356000 378250 484160 605200 712000 756500 1210400 1513000 2420800 3026000 6052000 12104000