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210295134 = 232717313167
BaseRepresentation
bin11001000100011…
…01100101011110
3112122201002200200
430202031211132
5412313421014
632511204330
75132323230
oct1442154536
9478632620
10210295134
11a8784935
125a5166a6
13347502ba
141dd02250
15136dea09
hexc88d95e

210295134 has 96 divisors (see below), whose sum is σ = 569327616. Its totient is φ = 54708480.

The previous prime is 210295091. The next prime is 210295157. The reversal of 210295134 is 431592012.

210295134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210295098 and 210295107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64819 + ... + 67985.

It is an arithmetic number, because the mean of its divisors is an integer number (5930496).

Almost surely, 2210295134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210295134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284663808).

210295134 is an abundant number, since it is smaller than the sum of its proper divisors (359032482).

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

210295134 is a wasteful number, since it uses less digits than its factorization.

210295134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 210295134 is about 14501.5562613121. The cubic root of 210295134 is about 594.6705178626.

The spelling of 210295134 in words is "two hundred ten million, two hundred ninety-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1581 1953 2142 3162 3167 3689 3906 4743 6334 7378 9486 9501 11067 19002 22134 22169 28503 33201 44338 53839 57006 66402 66507 98177 107678 133014 161517 196354 199521 294531 323034 376873 399042 484551 589062 687239 753746 883593 969102 1130619 1374478 1669009 1767186 2061717 2261238 3338018 3391857 4123434 5007027 6185151 6783714 10014054 11683063 12370302 15021081 23366126 30042162 35049189 70098378 105147567 210295134