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14313040 = 245761419
BaseRepresentation
bin110110100110…
…011001010000
3222221011210121
4312212121100
512131004130
61230440024
7232441660
oct66463120
928834717
1014313040
118096665
124963014
132c71a71
141c881a0
1513cad7a
hexda6650

14313040 has 80 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 4815360.

The previous prime is 14313017. The next prime is 14313049. The reversal of 14313040 is 4031341.

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

It is a super-2 number, since 2×143130402 = 409726228083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33951 + ... + 34369.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 214313040 is an apocalyptic number.

14313040 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 14313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

14313040 is an abundant number, since it is smaller than the sum of its proper divisors (24434480).

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

14313040 is a wasteful number, since it uses less digits than its factorization.

14313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 14313040 is about 3783.2578553411. The cubic root of 14313040 is about 242.7973608001.

Adding to 14313040 its reverse (4031341), we get a palindrome (18344381).

The spelling of 14313040 in words is "fourteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 419 427 488 560 610 838 854 976 1220 1676 1708 2095 2135 2440 2933 3352 3416 4190 4270 4880 5866 6704 6832 8380 8540 11732 14665 16760 17080 23464 25559 29330 33520 34160 46928 51118 58660 102236 117320 127795 178913 204472 234640 255590 357826 408944 511180 715652 894565 1022360 1431304 1789130 2044720 2862608 3578260 7156520 14313040