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210029274 = 2367131583
BaseRepresentation
bin11001000010011…
…00101011011010
3112122012121000000
430201030223122
5412231414044
632501353430
75130135150
oct1441145332
9478177000
10210029274
11a8613114
125a408876
13346892a0
141dc733d0
151368ad69
hexc84cada

210029274 has 112 divisors (see below), whose sum is σ = 581720832. Its totient is φ = 55357344.

The previous prime is 210029263. The next prime is 210029297. The reversal of 210029274 is 472920012.

It is a super-2 number, since 2×2100292742 = 88224591873934152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 131887 + ... + 133469.

It is an arithmetic number, because the mean of its divisors is an integer number (5193936).

Almost surely, 2210029274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210029274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290860416).

210029274 is an abundant number, since it is smaller than the sum of its proper divisors (371691558).

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

210029274 is a wasteful number, since it uses less digits than its factorization.

210029274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 210029274 is about 14492.3867599509. The cubic root of 210029274 is about 594.4198134170.

Adding to 210029274 its reverse (472920012), we get a palindrome (682949286).

It can be divided in two parts, 21002 and 9274, that added together give a square (30276 = 1742).

The spelling of 210029274 in words is "two hundred ten million, twenty-nine thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 819 1053 1134 1458 1583 1638 1701 2106 2457 3159 3166 3402 4749 4914 5103 6318 7371 9477 9498 10206 11081 14247 14742 18954 20579 22113 22162 28494 33243 41158 42741 44226 61737 66339 66486 85482 99729 123474 128223 132678 144053 185211 199458 256446 288106 299187 370422 384669 432159 555633 598374 769338 864318 897561 1111266 1154007 1296477 1666899 1795122 2308014 2592954 2692683 3333798 3889431 5000697 5385366 7778862 8078049 10001394 11668293 15002091 16156098 23336586 30004182 35004879 70009758 105014637 210029274