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427102740 = 2233541101191
BaseRepresentation
bin11001011101010…
…001001000010100
31002202200001211000
4121131101020110
51333314241430
6110214143300
713404212331
oct3135211024
91082601730
10427102740
111aa0a7679
12bb051b30
136a64091c
1440a1b988
1527768e60
hex19751214

427102740 has 192 divisors, whose sum is σ = 1381847040. Its totient is φ = 109440000.

The previous prime is 427102681. The next prime is 427102759. The reversal of 427102740 is 47201724.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2236045 + ... + 2236235.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2427102740 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 427102740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

427102740 is an abundant number, since it is smaller than the sum of its proper divisors (954744300).

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

427102740 is a wasteful number, since it uses less digits than its factorization.

427102740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 427102740 is about 20666.4641387926. The cubic root of 427102740 is about 753.0852112264.

The spelling of 427102740 in words is "four hundred twenty-seven million, one hundred two thousand, seven hundred forty".