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210071052 = 223223376857
BaseRepresentation
bin11001000010101…
…10111000001100
3112122021201022100
430201112320030
5412234233202
632502315100
75130401022
oct1441267014
9478251270
10210071052
11a8641544
125a428a90
13346a22c9
141dc84712
151369841c
hexc856e0c

210071052 has 72 divisors (see below), whose sum is σ = 569159136. Its totient is φ = 65159424.

The previous prime is 210071009. The next prime is 210071053. The reversal of 210071052 is 250170012.

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

It is not an unprimeable number, because it can be changed into a prime (210071053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27208 + ... + 34064.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2210071052 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 210071052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

210071052 is an abundant number, since it is smaller than the sum of its proper divisors (359088084).

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

210071052 is a wasteful number, since it uses less digits than its factorization.

210071052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 210071052 is about 14493.8280657665. The cubic root of 210071052 is about 594.4592238352.

The spelling of 210071052 in words is "two hundred ten million, seventy-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 222 276 333 414 444 666 828 851 1332 1702 2553 3404 5106 6857 7659 10212 13714 15318 20571 27428 30636 41142 61713 82284 123426 157711 246852 253709 315422 473133 507418 630844 761127 946266 1014836 1419399 1522254 1892532 2283381 2838798 3044508 4566762 5677596 5835307 9133524 11670614 17505921 23341228 35011842 52517763 70023684 105035526 210071052