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12106050 = 23521122329
BaseRepresentation
bin101110001011…
…100101000010
3211210001101020
4232023211002
511044343200
61111250310
7204620415
oct56134502
924701336
1012106050
116919500
124079996
13267b358
141871b7c
1510e1ea0
hexb8b942

12106050 has 144 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2710400.

The previous prime is 12106049. The next prime is 12106063. The reversal of 12106050 is 5060121.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 71 ways as a sum of consecutive naturals, for example, 417436 + ... + 417464.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 212106050 is an apocalyptic number.

12106050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12106050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12106050 is an abundant number, since it is smaller than the sum of its proper divisors (23516670).

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

12106050 is a wasteful number, since it uses less digits than its factorization.

12106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12106050 is about 3479.3749438656. The cubic root of 12106050 is about 229.6152989316.

Adding to 12106050 its reverse (5060121), we get a palindrome (17166171).

It can be divided in two parts, 1210 and 6050, that added together give a triangular number (7260 = T120).

The spelling of 12106050 in words is "twelve million, one hundred six thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 29 30 33 46 50 55 58 66 69 75 87 110 115 121 138 145 150 165 174 230 242 253 275 290 319 330 345 363 435 506 550 575 605 638 667 690 725 726 759 825 870 957 1150 1210 1265 1334 1450 1518 1595 1650 1725 1815 1914 2001 2175 2530 2783 3025 3190 3335 3450 3509 3630 3795 4002 4350 4785 5566 6050 6325 6670 7018 7337 7590 7975 8349 9075 9570 10005 10527 12650 13915 14674 15950 16675 16698 17545 18150 18975 20010 21054 22011 23925 27830 33350 35090 36685 37950 41745 44022 47850 50025 52635 69575 73370 80707 83490 87725 100050 105270 110055 139150 161414 175450 183425 208725 220110 242121 263175 366850 403535 417450 484242 526350 550275 807070 1100550 1210605 2017675 2421210 4035350 6053025 12106050