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42130206 = 234416343
BaseRepresentation
bin1010000010110…
…1101100011110
32221021102210000
42200231230132
541241131311
64102555130
71021046406
oct240555436
987242700
1042130206
1121866058
1212138aa6
138961321
145849806
153a73056
hex282db1e

42130206 has 40 divisors (see below), whose sum is σ = 96720624. Its totient is φ = 13698720.

The previous prime is 42130183. The next prime is 42130211. The reversal of 42130206 is 60203124.

It is a happy number.

42130206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3471 + ... + 9813.

Almost surely, 242130206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360312).

42130206 is an abundant number, since it is smaller than the sum of its proper divisors (54590418).

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

42130206 is a wasteful number, since it uses less digits than its factorization.

42130206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42130206 is about 6490.7785357382. The cubic root of 42130206 is about 347.9614999025.

The spelling of 42130206 in words is "forty-two million, one hundred thirty thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6343 6642 12686 19029 38058 57087 114174 171261 260063 342522 513783 520126 780189 1027566 1560378 2340567 4681134 7021701 14043402 21065103 42130206