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14287104 = 28341353
BaseRepresentation
bin110110100000…
…000100000000
3222212212020000
4312200010000
512124141404
61230120000
7232303236
oct66400400
928785200
1014287104
118079127
124950000
132c63010
141c7c956
1513c3339
hexda0100

14287104 has 180 divisors, whose sum is σ = 46744236. Its totient is φ = 4313088.

The previous prime is 14287103. The next prime is 14287109. The reversal of 14287104 is 40178241.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 8294400 = 2448^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14287103) 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, 269542 + ... + 269594.

Almost surely, 214287104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372118).

14287104 is an abundant number, since it is smaller than the sum of its proper divisors (32457132).

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

14287104 is an equidigital number, since it uses as much as digits as its factorization.

14287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14287104 is about 3779.8285675411. The cubic root of 14287104 is about 242.6506181607.

The spelling of 14287104 in words is "fourteen million, two hundred eighty-seven thousand, one hundred four".