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705271014 = 232725913553
BaseRepresentation
bin101010000010011…
…001010011100110
31211011002110221200
4222002121103212
52421022133024
6153552223330
723322463500
oct5202312346
91734073850
10705271014
1133211a608
1217823ab46
13b3166636
146994ad70
1541db42c9
hex2a0994e6

705271014 has 72 divisors (see below), whose sum is σ = 1807832520. Its totient is φ = 198076032.

The previous prime is 705271009. The next prime is 705271033. The reversal of 705271014 is 410172507.

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 35 ways as a sum of consecutive naturals, for example, 45262 + ... + 58814.

It is an arithmetic number, because the mean of its divisors is an integer number (25108785).

Almost surely, 2705271014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705271014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903916260).

705271014 is an abundant number, since it is smaller than the sum of its proper divisors (1102561506).

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

705271014 is a wasteful number, since it uses less digits than its factorization.

705271014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 13624 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 705271014 is about 26556.9390932012. The cubic root of 705271014 is about 890.1270760771.

The spelling of 705271014 in words is "seven hundred five million, two hundred seventy-one thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 177 294 354 413 441 531 826 882 1062 1239 2478 2891 3717 5782 7434 8673 13553 17346 26019 27106 40659 52038 81318 94871 121977 189742 243954 284613 569226 664097 799627 853839 1328194 1599254 1707678 1992291 2398881 3984582 4797762 5597389 5976873 7196643 11194778 11953746 14393286 16792167 33584334 39181723 50376501 78363446 100753002 117545169 235090338 352635507 705271014