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420018786 = 232117329059
BaseRepresentation
bin11001000010001…
…111101001100010
31002021100011110100
4121002033221202
51330011100121
6105402243230
713260046365
oct3102175142
91067304410
10420018786
111a60a9370
12b87b6516
1369030435
143dad60dc
1526d1a026
hex1908fa62

420018786 has 48 divisors (see below), whose sum is σ = 1006405920. Its totient is φ = 125530560.

The previous prime is 420018757. The next prime is 420018787. The reversal of 420018786 is 687810024.

It is a self number, because there is not a number n which added to its sum of digits gives 420018786.

It is not an unprimeable number, because it can be changed into a prime (420018787) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76 + ... + 28983.

It is an arithmetic number, because the mean of its divisors is an integer number (20966790).

Almost surely, 2420018786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420018786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503202960).

420018786 is an abundant number, since it is smaller than the sum of its proper divisors (586387134).

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

420018786 is a wasteful number, since it uses less digits than its factorization.

420018786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29151 (or 29148 counting only the distinct ones).

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

The square root of 420018786 is about 20494.3598582634. The cubic root of 420018786 is about 748.8984041075.

The spelling of 420018786 in words is "four hundred twenty million, eighteen thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 14454 29059 58118 87177 174354 261531 319649 523062 639298 958947 1917894 2121307 2876841 4242614 5753682 6363921 12727842 19091763 23334377 38183526 46668754 70003131 140006262 210009393 420018786