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14117040 = 2432572801
BaseRepresentation
bin110101110110…
…100010110000
3222120012221100
4311312202300
512103221130
61222324400
7230664360
oct65664260
928505840
1014117040
117a72383
124889700
132c037a2
141c369a0
15138cc60
hexd768b0

14117040 has 120 divisors (see below), whose sum is σ = 54201888. Its totient is φ = 3225600.

The previous prime is 14117039. The next prime is 14117053. The reversal of 14117040 is 4071141.

14117040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×141170403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3640 + ... + 6440.

Almost surely, 214117040 is an apocalyptic number.

14117040 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 14117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27100944).

14117040 is an abundant number, since it is smaller than the sum of its proper divisors (40084848).

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

14117040 is a wasteful number, since it uses less digits than its factorization.

14117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 14117040 is about 3757.2649627089. The cubic root of 14117040 is about 241.6839897742.

Adding to 14117040 its reverse (4071141), we get a palindrome (18188181).

The spelling of 14117040 in words is "fourteen million, one hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 2801 5040 5602 8403 11204 14005 16806 19607 22408 25209 28010 33612 39214 42015 44816 50418 56020 58821 67224 78428 84030 98035 100836 112040 117642 126045 134448 156856 168060 176463 196070 201672 224080 235284 252090 294105 313712 336120 352926 392140 403344 470568 504180 588210 672240 705852 784280 882315 941136 1008360 1176420 1411704 1568560 1764630 2016720 2352840 2823408 3529260 4705680 7058520 14117040