Search a number
-
+
14110040 = 2357223313
BaseRepresentation
bin110101110100…
…110101011000
3222112212100002
4311310311120
512103010130
61222232132
7230635100
oct65646530
928485302
1014110040
117a6809a
124885648
132c00549
141c34200
15138ab45
hexd74d58

14110040 has 96 divisors (see below), whose sum is σ = 38659680. Its totient is φ = 4612608.

The previous prime is 14110039. The next prime is 14110069. The reversal of 14110040 is 4001141.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44924 + ... + 45236.

It is an arithmetic number, because the mean of its divisors is an integer number (402705).

Almost surely, 214110040 is an apocalyptic number.

14110040 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 14110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329840).

14110040 is an abundant number, since it is smaller than the sum of its proper divisors (24549640).

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

14110040 is a wasteful number, since it uses less digits than its factorization.

14110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 14110040 is about 3756.3333185435. Note that the first 4 decimals coincide. The cubic root of 14110040 is about 241.6440364593.

Adding to 14110040 its reverse (4001141), we get a palindrome (18111181).

The spelling of 14110040 in words is "fourteen million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 313 322 392 460 490 626 644 805 920 980 1127 1252 1288 1565 1610 1960 2191 2254 2504 3130 3220 4382 4508 5635 6260 6440 7199 8764 9016 10955 11270 12520 14398 15337 17528 21910 22540 28796 30674 35995 43820 45080 50393 57592 61348 71990 76685 87640 100786 122696 143980 153370 201572 251965 287960 306740 352751 403144 503930 613480 705502 1007860 1411004 1763755 2015720 2822008 3527510 7055020 14110040