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14075760 = 2435223263
BaseRepresentation
bin110101101100…
…011101110000
3222111010022110
4311230131300
512100411020
61221405320
7230433126
oct65543560
928433273
1014075760
117a44366
124869840
132bbaa6a
141c25916
1513808e0
hexd6c770

14075760 has 80 divisors (see below), whose sum is σ = 43997184. Its totient is φ = 3722496.

The previous prime is 14075753. The next prime is 14075771. The reversal of 14075760 is 6757041.

It is a happy number.

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 (30).

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 15 ways as a sum of consecutive naturals, for example, 53389 + ... + 53651.

Almost surely, 214075760 is an apocalyptic number.

14075760 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 14075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592).

14075760 is an abundant number, since it is smaller than the sum of its proper divisors (29921424).

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

14075760 is a wasteful number, since it uses less digits than its factorization.

14075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 14075760 is about 3751.7675834198. The cubic root of 14075760 is about 241.4481883287.

The spelling of 14075760 in words is "fourteen million, seventy-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 263 446 526 669 789 892 1052 1115 1315 1338 1578 1784 2104 2230 2630 2676 3156 3345 3568 3945 4208 4460 5260 5352 6312 6690 7890 8920 10520 10704 12624 13380 15780 17840 21040 26760 31560 53520 58649 63120 117298 175947 234596 293245 351894 469192 586490 703788 879735 938384 1172980 1407576 1759470 2345960 2815152 3518940 4691920 7037880 14075760