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13455750 = 2353711233
BaseRepresentation
bin110011010101…
…000110000110
3221022121211010
4303111012012
511421041000
61200223050
7222241410
oct63250606
927277733
1013455750
117660560
12460aa86
132a317a9
141b039b0
1512abd50
hexcd5186

13455750 has 128 divisors (see below), whose sum is σ = 42052608. Its totient is φ = 2784000.

The previous prime is 13455737. The next prime is 13455769. The reversal of 13455750 is 5755431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 57634 + ... + 57866.

It is an arithmetic number, because the mean of its divisors is an integer number (328536).

Almost surely, 213455750 is an apocalyptic number.

13455750 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 13455750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026304).

13455750 is an abundant number, since it is smaller than the sum of its proper divisors (28596858).

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

13455750 is a wasteful number, since it uses less digits than its factorization.

13455750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 13455750 is about 3668.2080093692. The cubic root of 13455750 is about 237.8497156358.

The spelling of 13455750 in words is "thirteen million, four hundred fifty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 125 150 154 165 175 210 231 233 250 275 330 350 375 385 462 466 525 550 699 750 770 825 875 1050 1155 1165 1375 1398 1631 1650 1750 1925 2310 2330 2563 2625 2750 3262 3495 3850 4125 4893 5126 5250 5775 5825 6990 7689 8155 8250 9625 9786 11550 11650 12815 15378 16310 17475 17941 19250 24465 25630 28875 29125 34950 35882 38445 40775 48930 53823 57750 58250 64075 76890 81550 87375 89705 107646 122325 128150 174750 179410 192225 203875 244650 269115 320375 384450 407750 448525 538230 611625 640750 897050 961125 1223250 1345575 1922250 2242625 2691150 4485250 6727875 13455750