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13814766 = 2337223227
BaseRepresentation
bin110100101100…
…101111101110
3221222212022000
4310230233232
512014033031
61212033130
7225265200
oct64545756
927885260
1013814766
117886269
1247627a6
132b29024
141b98770
15132d3e6
hexd2cbee

13814766 has 96 divisors (see below), whose sum is σ = 37428480. Its totient is φ = 3758832.

The previous prime is 13814753. The next prime is 13814771. The reversal of 13814766 is 66741831.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13814766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60745 + ... + 60971.

It is an arithmetic number, because the mean of its divisors is an integer number (389880).

Almost surely, 213814766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714240).

13814766 is an abundant number, since it is smaller than the sum of its proper divisors (23613714).

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

13814766 is a wasteful number, since it uses less digits than its factorization.

13814766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13814766 is about 3716.8220296377. The cubic root of 13814766 is about 239.9465505974.

The spelling of 13814766 in words is "thirteen million, eight hundred fourteen thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 207 227 294 322 378 414 441 454 483 621 681 882 966 1127 1242 1323 1362 1449 1589 2043 2254 2646 2898 3178 3381 4086 4347 4767 5221 6129 6762 8694 9534 10143 10442 11123 12258 14301 15663 20286 22246 28602 30429 31326 33369 36547 42903 46989 60858 66738 73094 85806 93978 100107 109641 140967 200214 219282 255829 281934 300321 328923 511658 600642 657846 767487 986769 1534974 1973538 2302461 4604922 6907383 13814766