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427706190 = 233510914533
BaseRepresentation
bin11001011111100…
…100011101001110
31002210210201121000
4121133210131032
51333443044230
6110235121130
713412304552
oct3137443516
91083721530
10427706190
111aa479a9a
12bb2a31a6
136a7c24b2
1440b37862
1527837b60
hex197e474e

427706190 has 64 divisors (see below), whose sum is σ = 1151092800. Its totient is φ = 113000832.

The previous prime is 427706129. The next prime is 427706203. The reversal of 427706190 is 91607724.

It is a happy number.

It is a super-2 number, since 2×4277061902 = 365865169928632200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22164 + ... + 36696.

It is an arithmetic number, because the mean of its divisors is an integer number (17985825).

Almost surely, 2427706190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427706190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575546400).

427706190 is an abundant number, since it is smaller than the sum of its proper divisors (723386610).

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

427706190 is a wasteful number, since it uses less digits than its factorization.

427706190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14652 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 427706190 is about 20681.0587253167. The cubic root of 427706190 is about 753.4397203151.

The spelling of 427706190 in words is "four hundred twenty-seven million, seven hundred six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4905 5886 9810 14533 14715 29066 29430 43599 72665 87198 130797 145330 217995 261594 392391 435990 653985 784782 1307970 1584097 1961955 3168194 3923910 4752291 7920485 9504582 14256873 15840970 23761455 28513746 42770619 47522910 71284365 85541238 142568730 213853095 427706190