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14055360 = 2635114
BaseRepresentation
bin110101100111…
…011111000000
3222110002022220
4311213133000
512044232420
61221131040
7230316504
oct65473700
928402286
1014055360
117a30000
124859a80
132bb16a7
141c1c304
151379840
hexd677c0

14055360 has 140 divisors (see below), whose sum is σ = 49088040. Its totient is φ = 3407360.

The previous prime is 14055317. The next prime is 14055409. The reversal of 14055360 is 6355041.

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 14055360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1277755 + ... + 1277765.

Almost surely, 214055360 is an apocalyptic number.

14055360 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 14055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544020).

14055360 is an abundant number, since it is smaller than the sum of its proper divisors (35032680).

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

14055360 is an frugal number, since it uses more digits than its factorization.

14055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 14055360 is about 3749.0478791288. The cubic root of 14055360 is about 241.3314883070.

The spelling of 14055360 in words is "fourteen million, fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 121 132 160 165 176 192 220 240 242 264 320 330 352 363 440 480 484 528 605 660 704 726 880 960 968 1056 1210 1320 1331 1452 1760 1815 1936 2112 2420 2640 2662 2904 3520 3630 3872 3993 4840 5280 5324 5808 6655 7260 7744 7986 9680 10560 10648 11616 13310 14520 14641 15972 19360 19965 21296 23232 26620 29040 29282 31944 38720 39930 42592 43923 53240 58080 58564 63888 73205 79860 85184 87846 106480 116160 117128 127776 146410 159720 175692 212960 219615 234256 255552 292820 319440 351384 425920 439230 468512 585640 638880 702768 878460 937024 1171280 1277760 1405536 1756920 2342560 2811072 3513840 4685120 7027680 14055360