Search a number
-
+
210032340 = 223574112197
BaseRepresentation
bin11001000010011…
…01011011010100
3112122012202012120
430201031123110
5412232013330
632501415540
75130150120
oct1441153324
9478182176
10210032340
11a8615451
125a40a5b0
133468a7bb
141dc74580
151368bc10
hexc84d6d4

210032340 has 96 divisors (see below), whose sum is σ = 688552704. Its totient is φ = 46832640.

The previous prime is 210032287. The next prime is 210032351. The reversal of 210032340 is 43230012.

It is a super-2 number, since 2×2100323402 = 88227167691751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11122 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (7172424).

Almost surely, 2210032340 is an apocalyptic number.

210032340 is a gapful number since it is divisible by the number (20) 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 210032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344276352).

210032340 is an abundant number, since it is smaller than the sum of its proper divisors (478520364).

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

210032340 is a wasteful number, since it uses less digits than its factorization.

210032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12257 (or 12255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 210032340 is about 14492.4925392425. The cubic root of 210032340 is about 594.4227058428.

Adding to 210032340 its reverse (43230012), we get a palindrome (253262352).

The spelling of 210032340 in words is "two hundred ten million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 12197 17220 24394 36591 48788 60985 73182 85379 121970 146364 170758 182955 243940 256137 341516 365910 426895 500077 512274 731820 853790 1000154 1024548 1280685 1500231 1707580 2000308 2500385 2561370 3000462 3500539 5000770 5122740 6000924 7001078 7501155 10001540 10501617 14002156 15002310 17502695 21003234 30004620 35005390 42006468 52508085 70010780 105016170 210032340