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14684040 = 2332575827
BaseRepresentation
bin111000000000…
…111110001000
31000122000201100
4320000332020
512224342130
61242421400
7235545420
oct70007610
930560640
1014684040
11831a378
124b01860
1330718a7
141d43480
151450c60
hexe00f88

14684040 has 96 divisors (see below), whose sum is σ = 54550080. Its totient is φ = 3355776.

The previous prime is 14684029. The next prime is 14684041. The reversal of 14684040 is 4048641.

It is a junction number, because it is equal to n+sod(n) for n = 14683995 and 14684013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14684041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394 + ... + 5433.

It is an arithmetic number, because the mean of its divisors is an integer number (568230).

Almost surely, 214684040 is an apocalyptic number.

14684040 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 14684040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27275040).

14684040 is an abundant number, since it is smaller than the sum of its proper divisors (39866040).

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

14684040 is a wasteful number, since it uses less digits than its factorization.

14684040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14684040 is about 3831.9759915741. The cubic root of 14684040 is about 244.8772952122.

The spelling of 14684040 in words is "fourteen million, six hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5827 11654 17481 23308 29135 34962 40789 46616 52443 58270 69924 81578 87405 104886 116540 122367 139848 163156 174810 203945 209772 233080 244734 262215 326312 349620 367101 407890 419544 489468 524430 611835 699240 734202 815780 978936 1048860 1223670 1468404 1631560 1835505 2097720 2447340 2936808 3671010 4894680 7342020 14684040