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14481280 = 27511317
BaseRepresentation
bin110111001111…
…011110000000
31000020201120201
4313033132000
512201400110
61234214544
7234042322
oct67173600
930221521
1014481280
1181a1000
124a24454
133000508
141ccd612
151410b3a
hexdcf780

14481280 has 128 divisors (see below), whose sum is σ = 40318560. Its totient is φ = 4956160.

The previous prime is 14481277. The next prime is 14481281. The reversal of 14481280 is 8218441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14481281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 851832 + ... + 851848.

Almost surely, 214481280 is an apocalyptic number.

14481280 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 14481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20159280).

14481280 is an abundant number, since it is smaller than the sum of its proper divisors (25837280).

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

14481280 is an equidigital number, since it uses as much as digits as its factorization.

14481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 14481280 is about 3805.4277026374. The cubic root of 14481280 is about 243.7449632972.

The spelling of 14481280 in words is "fourteen million, four hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 121 128 136 160 170 176 187 220 242 272 320 340 352 374 440 484 544 605 640 680 704 748 880 935 968 1088 1210 1331 1360 1408 1496 1760 1870 1936 2057 2176 2420 2662 2720 2992 3520 3740 3872 4114 4840 5324 5440 5984 6655 7040 7480 7744 8228 9680 10285 10648 10880 11968 13310 14960 15488 16456 19360 20570 21296 22627 23936 26620 29920 32912 38720 41140 42592 45254 53240 59840 65824 77440 82280 85184 90508 106480 113135 119680 131648 164560 170368 181016 212960 226270 263296 329120 362032 425920 452540 658240 724064 851840 905080 1316480 1448128 1810160 2896256 3620320 7240640 14481280