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14132000 = 25533533
BaseRepresentation
bin110101111010…
…001100100000
3222120222110102
4311322030200
512104211000
61222521532
7231056111
oct65721440
928528412
1014132000
117a82643
1248962a8
132c0a53c
141c3c208
1513923d5
hexd7a320

14132000 has 48 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 5651200.

The previous prime is 14131979. The next prime is 14132011. The reversal of 14132000 is 23141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6492304 + 7639696 = 2548^2 + 2764^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2234 + ... + 5766.

Almost surely, 214132000 is an apocalyptic number.

14132000 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 14132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

14132000 is an abundant number, since it is smaller than the sum of its proper divisors (20600152).

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

14132000 is an equidigital number, since it uses as much as digits as its factorization.

14132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 14132000 is about 3759.2552453910. The cubic root of 14132000 is about 241.7693314624.

Adding to 14132000 its reverse (23141), we get a palindrome (14155141).

The spelling of 14132000 in words is "fourteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3533 4000 7066 14132 17665 28264 35330 56528 70660 88325 113056 141320 176650 282640 353300 441625 565280 706600 883250 1413200 1766500 2826400 3533000 7066000 14132000