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14361680 = 245315791
BaseRepresentation
bin110110110010…
…010001010000
31000000122112002
4312302101100
512134033210
61231453132
7233033534
oct66622120
930018462
1014361680
11811a163
1249871a8
132c8ac48
141c9bbc4
1513da4a5
hexdb2450

14361680 has 40 divisors (see below), whose sum is σ = 34473984. Its totient is φ = 5558400.

The previous prime is 14361679. The next prime is 14361691. The reversal of 14361680 is 8616341.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 5375.

Almost surely, 214361680 is an apocalyptic number.

14361680 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 14361680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236992).

14361680 is an abundant number, since it is smaller than the sum of its proper divisors (20112304).

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

14361680 is a wasteful number, since it uses less digits than its factorization.

14361680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 14361680 is about 3789.6807253382. The cubic root of 14361680 is about 243.0720825745.

The spelling of 14361680 in words is "fourteen million, three hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 5791 11582 23164 28955 46328 57910 92656 115820 179521 231640 359042 463280 718084 897605 1436168 1795210 2872336 3590420 7180840 14361680