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71327046 = 2372377983
BaseRepresentation
bin1000100000001…
…01110101000110
311222012210022110
410100011311012
5121224431141
611024441450
71524161400
oct420056506
9158183273
1071327046
113729807a
121ba79286
1311a1486b
149689b70
1563dde16
hex4405d46

71327046 has 96 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 19341504.

The previous prime is 71327027. The next prime is 71327077. The reversal of 71327046 is 64072317.

It is a super-2 number, since 2×713270462 = 10175094982172232, which contains 22 as substring.

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, 859321 + ... + 859403.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 271327046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71327046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

71327046 is an abundant number, since it is smaller than the sum of its proper divisors (103339194).

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

71327046 is a wasteful number, since it uses less digits than its factorization.

71327046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 71327046 is about 8445.5340861310. The cubic root of 71327046 is about 414.7165936525.

The spelling of 71327046 in words is "seventy-one million, three hundred twenty-seven thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 79 83 98 111 147 158 166 222 237 249 259 294 474 498 518 553 581 777 1106 1162 1554 1659 1743 1813 2923 3071 3318 3486 3626 3871 4067 5439 5846 6142 6557 7742 8134 8769 9213 10878 11613 12201 13114 17538 18426 19671 20461 21497 23226 24402 39342 40922 42994 45899 61383 64491 91798 122766 128982 137697 143227 150479 242609 275394 286454 300958 321293 429681 451437 485218 642586 727827 859362 902874 963879 1455654 1698263 1927758 3396526 5094789 10189578 11887841 23775682 35663523 71327046