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427132160 = 28571319193
BaseRepresentation
bin11001011101011…
…000010100000000
31002202201120011122
4121131120110000
51333321212120
6110214531412
713404364160
oct3135302400
91082646148
10427132160
111aa117794
12bb066b68
136a651130
1440a285a0
1527772a25
hex19758500

427132160 has 288 divisors, whose sum is σ = 1332360960. Its totient is φ = 127401984.

The previous prime is 427132151. The next prime is 427132171. The reversal of 427132160 is 61231724.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2213024 + ... + 2213216.

Almost surely, 2427132160 is an apocalyptic number.

427132160 is a gapful number since it is divisible by the number (40) 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 427132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666180480).

427132160 is an abundant number, since it is smaller than the sum of its proper divisors (905228800).

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

427132160 is a wasteful number, since it uses less digits than its factorization.

427132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 427132160 is about 20667.1759077045. The cubic root of 427132160 is about 753.1025023496.

Adding to 427132160 its reverse (61231724), we get a palindrome (488363884).

The spelling of 427132160 in words is "four hundred twenty-seven million, one hundred thirty-two thousand, one hundred sixty".