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14843040 = 2535172107
BaseRepresentation
bin111000100111…
…110010100000
31000221002211020
4320213302200
512244434130
61250045440
7240110112
oct70476240
930832736
1014843040
118418883
124b79880
1330c9084
141d853b2
151482e10
hexe27ca0

14843040 has 144 divisors (see below), whose sum is σ = 50131872. Its totient is φ = 3690496.

The previous prime is 14843011. The next prime is 14843063. The reversal of 14843040 is 4034841.

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 14843040.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138667 + ... + 138773.

It is an arithmetic number, because the mean of its divisors is an integer number (348138).

Almost surely, 214843040 is an apocalyptic number.

14843040 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 14843040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065936).

14843040 is an abundant number, since it is smaller than the sum of its proper divisors (35288832).

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

14843040 is a wasteful number, since it uses less digits than its factorization.

14843040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14843040 is about 3852.6666089866. Note that the first 4 decimals coincide. The cubic root of 14843040 is about 245.7579746673.

Adding to 14843040 its reverse (4034841), we get a palindrome (18877881).

The spelling of 14843040 in words is "fourteen million, eight hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 107 120 136 160 170 204 214 240 255 272 289 321 340 408 428 480 510 535 544 578 642 680 816 856 867 1020 1070 1156 1284 1360 1445 1605 1632 1712 1734 1819 2040 2140 2312 2568 2720 2890 3210 3424 3468 3638 4080 4280 4335 4624 5136 5457 5780 6420 6936 7276 8160 8560 8670 9095 9248 10272 10914 11560 12840 13872 14552 17120 17340 18190 21828 23120 25680 27285 27744 29104 30923 34680 36380 43656 46240 51360 54570 58208 61846 69360 72760 87312 92769 109140 123692 138720 145520 154615 174624 185538 218280 247384 291040 309230 371076 436560 463845 494768 618460 742152 873120 927690 989536 1236920 1484304 1855380 2473840 2968608 3710760 4947680 7421520 14843040