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14059864 = 2372133189
BaseRepresentation
bin110101101000…
…100101011000
3222110022111201
4311220211120
512044403424
61221203544
7230335600
oct65504530
928408451
1014059864
117a33425
1248605b4
132bb3760
141c1dc00
15137ad44
hexd68958

14059864 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 5322240.

The previous prime is 14059861. The next prime is 14059933. The reversal of 14059864 is 46895041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14059861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157932 + ... + 158020.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 214059864 is an apocalyptic number.

14059864 is a gapful number since it is divisible by the number (14) 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 14059864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

14059864 is an abundant number, since it is smaller than the sum of its proper divisors (20413736).

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

14059864 is a wasteful number, since it uses less digits than its factorization.

14059864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 14059864 is about 3749.6485168613. The cubic root of 14059864 is about 241.3572635496.

The spelling of 14059864 in words is "fourteen million, fifty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 89 91 98 104 124 178 182 196 217 248 356 364 392 403 434 623 637 712 728 806 868 1157 1246 1274 1519 1612 1736 2314 2492 2548 2759 2821 3038 3224 4361 4628 4984 5096 5518 5642 6076 8099 8722 9256 11036 11284 12152 16198 17444 19313 19747 22072 22568 32396 34888 35867 38626 39494 56693 64792 71734 77252 78988 113386 135191 143468 154504 157976 226772 251069 270382 286936 453544 502138 540764 1004276 1081528 1757483 2008552 3514966 7029932 14059864