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1106412450 = 2352111351581
BaseRepresentation
bin100000111110010…
…1000001110100010
32212002220120112220
41001330220032202
54231220144300
6301442131510
736263231163
oct10174501642
92762816486
101106412450
115185a5060
1226a650b96
131482b7630
14a6d2b76a
1567200da0
hex41f283a2

1106412450 has 96 divisors (see below), whose sum is σ = 3223668672. Its totient is φ = 247584000.

The previous prime is 1106412431. The next prime is 1106412467. The reversal of 1106412450 is 542146011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1106412450.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4341 + ... + 47240.

It is an arithmetic number, because the mean of its divisors is an integer number (33579882).

Almost surely, 21106412450 is an apocalyptic number.

1106412450 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 1106412450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611834336).

1106412450 is an abundant number, since it is smaller than the sum of its proper divisors (2117256222).

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

1106412450 is a wasteful number, since it uses less digits than its factorization.

1106412450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51620 (or 51615 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1106412450 is about 33262.7787474228. The cubic root of 1106412450 is about 1034.2821225589.

Adding to 1106412450 its reverse (542146011), we get a palindrome (1648558461).

The spelling of 1106412450 in words is "one billion, one hundred six million, four hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 130 143 150 165 195 275 286 325 330 390 429 550 650 715 825 858 975 1430 1650 1950 2145 3575 4290 7150 10725 21450 51581 103162 154743 257905 309486 515810 567391 670553 773715 1134782 1289525 1341106 1547430 1702173 2011659 2579050 2836955 3352765 3404346 3868575 4023318 5673910 6705530 7376083 7737150 8510865 10058295 14184775 14752166 16763825 17021730 20116590 22128249 28369550 33527650 36880415 42554325 44256498 50291475 73760830 85108650 100582950 110641245 184402075 221282490 368804150 553206225 1106412450