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210341320 = 2357315331
BaseRepresentation
bin11001000100110…
…00110111001000
3112122210110001021
430202120313020
5412321410240
632512202224
75132605000
oct1442306710
9478713037
10210341320
11a8806602
125a539374
1334768327
141dd15000
15136ed54a
hexc898dc8

210341320 has 64 divisors (see below), whose sum is σ = 551952000. Its totient is φ = 72112320.

The previous prime is 210341317. The next prime is 210341353. The reversal of 210341320 is 23143012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210341294 and 210341303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6055 + ... + 21385.

It is an arithmetic number, because the mean of its divisors is an integer number (8624250).

Almost surely, 2210341320 is an apocalyptic number.

210341320 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 210341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275976000).

210341320 is an abundant number, since it is smaller than the sum of its proper divisors (341610680).

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

210341320 is a wasteful number, since it uses less digits than its factorization.

210341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 210341320 is about 14503.1486236610. The cubic root of 210341320 is about 594.7140494485.

Adding to 210341320 its reverse (23143012), we get a palindrome (233484332).

The spelling of 210341320 in words is "two hundred ten million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 15331 30662 61324 76655 107317 122648 153310 214634 306620 429268 536585 613240 751219 858536 1073170 1502438 2146340 3004876 3756095 4292680 5258533 6009752 7512190 10517066 15024380 21034132 26292665 30048760 42068264 52585330 105170660 210341320