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71333106 = 231319127379
BaseRepresentation
bin1000100000001…
…11010011110010
311222020002121220
410100013103302
5121230124411
611024525510
71524215145
oct420072362
9158202556
1071333106
11372a1689
121ba80896
1311a17550
14968c05c
1563e0b06
hex44074f2

71333106 has 64 divisors (see below), whose sum is σ = 163430400. Its totient is φ = 20575296.

The previous prime is 71333099. The next prime is 71333117. The reversal of 71333106 is 60133317.

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, 188025 + ... + 188403.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 271333106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71333106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81715200).

71333106 is an abundant number, since it is smaller than the sum of its proper divisors (92097294).

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

71333106 is a wasteful number, since it uses less digits than its factorization.

71333106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 71333106 is about 8445.8928480061. The cubic root of 71333106 is about 414.7283381988.

The spelling of 71333106 in words is "seventy-one million, three hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 127 247 254 379 381 494 741 758 762 1137 1482 1651 2274 2413 3302 4826 4927 4953 7201 7239 9854 9906 14402 14478 14781 21603 29562 31369 43206 48133 62738 93613 94107 96266 144399 187226 188214 280839 288798 561678 625729 914527 1251458 1829054 1877187 2743581 3754374 5487162 11888851 23777702 35666553 71333106