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71671314 = 231113103811
BaseRepresentation
bin1000100010110…
…01111000010010
311222212021120010
410101121320102
5121321440224
611040055350
71530124161
oct421317022
9158767503
1071671314
11375027a0
1220004556
1311b05480
1497393d8
15645ae29
hex4459e12

71671314 has 64 divisors (see below), whose sum is σ = 170247168. Its totient is φ = 19828800.

The previous prime is 71671309. The next prime is 71671351. The reversal of 71671314 is 41317617.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87969 + ... + 88779.

It is an arithmetic number, because the mean of its divisors is an integer number (2660112).

Almost surely, 271671314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71671314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85123584).

71671314 is an abundant number, since it is smaller than the sum of its proper divisors (98575854).

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

71671314 is a wasteful number, since it uses less digits than its factorization.

71671314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its digits is 3528, while the sum is 30.

The square root of 71671314 is about 8465.8912112075. The cubic root of 71671314 is about 415.3827484510.

The spelling of 71671314 in words is "seventy-one million, six hundred seventy-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 103 143 206 286 309 429 618 811 858 1133 1339 1622 2266 2433 2678 3399 4017 4866 6798 8034 8921 10543 14729 17842 21086 26763 29458 31629 44187 53526 63258 83533 88374 115973 167066 231946 250599 347919 501198 695838 918863 1085929 1837726 2171858 2756589 3257787 5513178 6515574 11945219 23890438 35835657 71671314