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210314742 = 231167199239
BaseRepresentation
bin11001000100100…
…10010111110110
3112122202002120220
430202102113312
5412320032432
632511435210
75132434341
oct1442222766
9478662526
10210314742
11a8798640
125a525b06
13347591c1
141dd09458
15136e572c
hexc8925f6

210314742 has 64 divisors (see below), whose sum is σ = 470016000. Its totient is φ = 62203680.

The previous prime is 210314723. The next prime is 210314747. The reversal of 210314742 is 247413012.

It is a happy number.

210314742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210314747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879859 + ... + 880097.

It is an arithmetic number, because the mean of its divisors is an integer number (7344000).

Almost surely, 2210314742 is an apocalyptic number.

210314742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210314742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

210314742 is an abundant number, since it is smaller than the sum of its proper divisors (259701258).

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

210314742 is a wasteful number, since it uses less digits than its factorization.

210314742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 210314742 is about 14502.2323109237. The cubic root of 210314742 is about 594.6889997249.

Adding to 210314742 its reverse (247413012), we get a palindrome (457727754).

The spelling of 210314742 in words is "two hundred ten million, three hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 199 201 239 398 402 478 597 717 737 1194 1434 1474 2189 2211 2629 4378 4422 5258 6567 7887 13134 13333 15774 16013 26666 32026 39999 47561 48039 79998 95122 96078 142683 146663 176143 285366 293326 352286 439989 523171 528429 879978 1046342 1056858 1569513 3139026 3186587 6373174 9559761 19119522 35052457 70104914 105157371 210314742