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14103040 = 2957787
BaseRepresentation
bin110101110011…
…001000000000
3222112111201211
4311303020000
512102244130
61222135504
7230605510
oct65631000
928474654
1014103040
117a62906
124881594
132bca2c3
141c31840
151388a2a
hexd73200

14103040 has 80 divisors (see below), whose sum is σ = 38693952. Its totient is φ = 4829184.

The previous prime is 14102989. The next prime is 14103043. The reversal of 14103040 is 4030141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 14103040.

It is not an unprimeable number, because it can be changed into a prime (14103043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17527 + ... + 18313.

Almost surely, 214103040 is an apocalyptic number.

14103040 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 14103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346976).

14103040 is an abundant number, since it is smaller than the sum of its proper divisors (24590912).

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

14103040 is an frugal number, since it uses more digits than its factorization.

14103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 14103040 is about 3755.4014432548. The cubic root of 14103040 is about 241.6040699284.

Adding to 14103040 its reverse (4030141), we get a palindrome (18133181).

The spelling of 14103040 in words is "fourteen million, one hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 787 896 1120 1280 1574 1792 2240 2560 3148 3584 3935 4480 5509 6296 7870 8960 11018 12592 15740 17920 22036 25184 27545 31480 44072 50368 55090 62960 88144 100736 110180 125920 176288 201472 220360 251840 352576 402944 440720 503680 705152 881440 1007360 1410304 1762880 2014720 2820608 3525760 7051520 14103040