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210542112 = 25331122153
BaseRepresentation
bin11001000110010…
…01111000100000
3112200011122111000
430203021320200
5412344321422
632520352000
75134402254
oct1443117040
9480148430
10210542112
11a8933450
125a615600
1334808841
141dd68264
151373ccac
hexc8c9e20

210542112 has 96 divisors (see below), whose sum is σ = 669936960. Its totient is φ = 63797760.

The previous prime is 210542083. The next prime is 210542119. The reversal of 210542112 is 211245012.

210542112 is a `hidden beast` number, since 2 + 10 + 542 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (210542119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573 + ... + 20580.

It is an arithmetic number, because the mean of its divisors is an integer number (6978510).

Almost surely, 2210542112 is an apocalyptic number.

210542112 is a gapful number since it is divisible by the number (22) 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 210542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334968480).

210542112 is an abundant number, since it is smaller than the sum of its proper divisors (459394848).

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

210542112 is a wasteful number, since it uses less digits than its factorization.

210542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22183 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 210542112 is about 14510.0693313299. The cubic root of 210542112 is about 594.9032274411.

Adding to 210542112 its reverse (211245012), we get a palindrome (421787124).

The spelling of 210542112 in words is "two hundred ten million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 22153 44306 66459 88612 132918 177224 199377 243683 265836 354448 398754 487366 531672 598131 708896 731049 797508 974732 1063344 1196262 1462098 1595016 1949464 2126688 2193147 2392524 2924196 3190032 3898928 4386294 4785048 5848392 6380064 6579441 7797856 8772588 9570096 11696784 13158882 17545176 19140192 23393568 26317764 35090352 52635528 70180704 105271056 210542112