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427188060 = 2233513231151
BaseRepresentation
bin11001011101100…
…101111101011100
31002202211101212000
4121131211331130
51333330004220
6110220042300
713405016145
oct3135457534
91082741760
10427188060
111aa155792
12bb093390
136a670700
1440a40acc
1527784390
hex19765f5c

427188060 has 288 divisors, whose sum is σ = 1495388160. Its totient is φ = 101088000.

The previous prime is 427188059. The next prime is 427188079. The reversal of 427188060 is 60881724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2828985 + ... + 2829135.

It is an arithmetic number, because the mean of its divisors is an integer number (5192320).

Almost surely, 2427188060 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 427188060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747694080).

427188060 is an abundant number, since it is smaller than the sum of its proper divisors (1068200100).

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

427188060 is a wasteful number, since it uses less digits than its factorization.

427188060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 427188060 is about 20668.5282494908. The cubic root of 427188060 is about 753.1353544716.

The spelling of 427188060 in words is "four hundred twenty-seven million, one hundred eighty-eight thousand, sixty".