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210191072 = 257131929131
BaseRepresentation
bin11001000011101…
…00001011100000
3112122111210221112
430201310023200
5412302103242
632505042452
75131410650
oct1441641340
9478453845
10210191072
11a8713733
125a486428
1334714b20
141dcb6360
15136bdc82
hexc8742e0

210191072 has 192 divisors, whose sum is σ = 558835200. Its totient is φ = 75479040.

The previous prime is 210191071. The next prime is 210191083. The reversal of 210191072 is 270191012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210191071) 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 31 ways as a sum of consecutive naturals, for example, 1604447 + ... + 1604577.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2210191072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210191072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

210191072 is an abundant number, since it is smaller than the sum of its proper divisors (348644128).

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

210191072 is a wasteful number, since it uses less digits than its factorization.

210191072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 210191072 is about 14497.9678575999. The cubic root of 210191072 is about 594.5724131777.

The spelling of 210191072 in words is "two hundred ten million, one hundred ninety-one thousand, seventy-two".