Search a number
-
+
427132100 = 22524271321
BaseRepresentation
bin11001011101011…
…000010011000100
31002202201120002102
4121131120103010
51333321211400
6110214531232
713404364043
oct3135302304
91082646072
10427132100
111aa11773a
12bb066b18
136a6510b5
1440a2855a
15277729d5
hex197584c4

427132100 has 18 divisors (see below), whose sum is σ = 926876874. Its totient is φ = 170852800.

The previous prime is 427132091. The next prime is 427132151. The reversal of 427132100 is 1231724.

It can be written as a sum of positive squares in 3 ways, for example, as 87909376 + 339222724 = 9376^2 + 18418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2135561 + ... + 2135760.

Almost surely, 2427132100 is an apocalyptic number.

It is an amenable number.

427132100 is an abundant number, since it is smaller than the sum of its proper divisors (499744774).

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

427132100 is a wasteful number, since it uses less digits than its factorization.

427132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271335 (or 4271328 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 427132100 is about 20667.1744561273. The cubic root of 427132100 is about 753.1024670864.

Adding to 427132100 its reverse (1231724), we get a palindrome (428363824).

The spelling of 427132100 in words is "four hundred twenty-seven million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4271321 8542642 17085284 21356605 42713210 85426420 106783025 213566050 427132100