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14045280 = 2535291009
BaseRepresentation
bin110101100101…
…000001100000
3222102120111120
4311211001200
512043422110
61221012240
7230245224
oct65450140
928376446
1014045280
117a23477
124854080
132ba9c22
141c18784
151376870
hexd65060

14045280 has 96 divisors (see below), whose sum is σ = 45813600. Its totient is φ = 3612672.

The previous prime is 14045279. The next prime is 14045293. The reversal of 14045280 is 8254041.

It is a tau number, because it is divible by the number of its divisors (96).

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 14045280.

It is a congruent number.

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, 13416 + ... + 14424.

It is an arithmetic number, because the mean of its divisors is an integer number (477225).

Almost surely, 214045280 is an apocalyptic number.

14045280 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 14045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22906800).

14045280 is an abundant number, since it is smaller than the sum of its proper divisors (31768320).

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

14045280 is a wasteful number, since it uses less digits than its factorization.

14045280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14045280 is about 3747.7032966872. The cubic root of 14045280 is about 241.2737830813.

The spelling of 14045280 in words is "fourteen million, forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1009 1160 1392 1740 2018 2320 2784 3027 3480 4036 4640 5045 6054 6960 8072 10090 12108 13920 15135 16144 20180 24216 29261 30270 32288 40360 48432 58522 60540 80720 87783 96864 117044 121080 146305 161440 175566 234088 242160 292610 351132 438915 468176 484320 585220 702264 877830 936352 1170440 1404528 1755660 2340880 2809056 3511320 4681760 7022640 14045280