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210057016 = 231318111159
BaseRepresentation
bin11001000010100…
…11011100111000
3112122021000001111
430201103130320
5412233311031
632502130104
75130312061
oct1441233470
9478230044
10210057016
11a8631a44
125a420934
1334698ac0
141dc7d568
15136941b1
hexc853738

210057016 has 32 divisors (see below), whose sum is σ = 426535200. Its totient is φ = 96405120.

The previous prime is 210057011. The next prime is 210057047. The reversal of 210057016 is 610750012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210057011) 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 7 ways as a sum of consecutive naturals, for example, 13245 + ... + 24403.

It is an arithmetic number, because the mean of its divisors is an integer number (13329225).

Almost surely, 2210057016 is an apocalyptic number.

210057016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210057016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

210057016 is an abundant number, since it is smaller than the sum of its proper divisors (216478184).

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

210057016 is a wasteful number, since it uses less digits than its factorization.

210057016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11359 (or 11355 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 210057016 is about 14493.3438515755. The cubic root of 210057016 is about 594.4459838458.

The spelling of 210057016 in words is "two hundred ten million, fifty-seven thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 9412 11159 18824 22318 44636 89272 145067 290134 580268 1160536 2019779 4039558 8079116 16158232 26257127 52514254 105028508 210057016