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12104640 = 26345467
BaseRepresentation
bin101110001011…
…001111000000
3211202222110000
4232023033000
511044322030
61111240000
7204613332
oct56131700
924688400
1012104640
116918439
124079000
13267a812
141871452
1510e1860
hexb8b3c0

12104640 has 140 divisors (see below), whose sum is σ = 43150536. Its totient is φ = 3220992.

The previous prime is 12104639. The next prime is 12104669. The reversal of 12104640 is 4640121.

12104640 is a `hidden beast` number, since 1 + 21 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 25687 + ... + 26153.

Almost surely, 212104640 is an apocalyptic number.

12104640 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 12104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21575268).

12104640 is an abundant number, since it is smaller than the sum of its proper divisors (31045896).

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

12104640 is an equidigital number, since it uses as much as digits as its factorization.

12104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12104640 is about 3479.1723153647. The cubic root of 12104640 is about 229.6063841014.

Adding to 12104640 its reverse (4640121), we get a palindrome (16744761).

The spelling of 12104640 in words is "twelve million, one hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 467 480 540 576 648 720 810 864 934 960 1080 1296 1401 1440 1620 1728 1868 2160 2335 2592 2802 2880 3240 3736 4203 4320 4670 5184 5604 6480 7005 7472 8406 8640 9340 11208 12609 12960 14010 14944 16812 18680 21015 22416 25218 25920 28020 29888 33624 37360 37827 42030 44832 50436 56040 63045 67248 74720 75654 84060 89664 100872 112080 126090 134496 149440 151308 168120 189135 201744 224160 252180 268992 302616 336240 378270 403488 448320 504360 605232 672480 756540 806976 1008720 1210464 1344960 1513080 2017440 2420928 3026160 4034880 6052320 12104640