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14933040 = 2435431447
BaseRepresentation
bin111000111101…
…110000110000
31001002200021120
4320331300300
512310324130
61252022240
7240633363
oct70756060
931080246
1014933040
11847a461
125001980
13312b025
141daa0da
15149e910
hexe3dc30

14933040 has 80 divisors (see below), whose sum is σ = 47401728. Its totient is φ = 3886848.

The previous prime is 14933033. The next prime is 14933071. The reversal of 14933040 is 4033941.

14933040 is digitally balanced in base 2, because in such base 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14933040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9597 + ... + 11043.

Almost surely, 214933040 is an apocalyptic number.

14933040 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 14933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700864).

14933040 is an abundant number, since it is smaller than the sum of its proper divisors (32468688).

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

14933040 is a wasteful number, since it uses less digits than its factorization.

14933040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 14933040 is about 3864.3291785250. The cubic root of 14933040 is about 246.2536876633.

Adding to 14933040 its reverse (4033941), we get a palindrome (18966981).

The spelling of 14933040 in words is "fourteen million, nine hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1447 1720 2064 2580 2894 3440 4341 5160 5788 7235 8682 10320 11576 14470 17364 21705 23152 28940 34728 43410 57880 62221 69456 86820 115760 124442 173640 186663 248884 311105 347280 373326 497768 622210 746652 933315 995536 1244420 1493304 1866630 2488840 2986608 3733260 4977680 7466520 14933040