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14000364 = 223476173
BaseRepresentation
bin110101011010…
…000011101100
3222100021220000
4311122003230
512041002424
61220024300
7230000250
oct65320354
928307800
1014000364
1179a2754
124832090
132b92651
141c06260
1513683c9
hexd5a0ec

14000364 has 60 divisors (see below), whose sum is σ = 41835024. Its totient is φ = 3999456.

The previous prime is 14000341. The next prime is 14000369. The reversal of 14000364 is 46300041.

14000364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14000369) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 819 + ... + 5354.

Almost surely, 214000364 is an apocalyptic number.

14000364 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 14000364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917512).

14000364 is an abundant number, since it is smaller than the sum of its proper divisors (27834660).

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

14000364 is a wasteful number, since it uses less digits than its factorization.

14000364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14000364 is about 3741.7060280038. The cubic root of 14000364 is about 241.0163151894.

The spelling of 14000364 in words is "fourteen million, three hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 6173 12346 18519 24692 37038 43211 55557 74076 86422 111114 129633 166671 172844 222228 259266 333342 388899 500013 518532 666684 777798 1000026 1166697 1555596 2000052 2333394 3500091 4666788 7000182 14000364