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71013930 = 235131710711
BaseRepresentation
bin1000011101110…
…01011000101010
311221121212210120
410032321120222
5121134421210
611014024110
71521415461
oct416713052
9157555716
1071013930
11370a38a9
121b948036
13119351a0
1496079d8
15637b270
hex43b962a

71013930 has 64 divisors (see below), whose sum is σ = 194358528. Its totient is φ = 16450560.

The previous prime is 71013923. The next prime is 71013931. The reversal of 71013930 is 3931017.

It is a self number, because there is not a number n which added to its sum of digits gives 71013930.

It is not an unprimeable number, because it can be changed into a prime (71013931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1275 + ... + 11985.

It is an arithmetic number, because the mean of its divisors is an integer number (3036852).

Almost surely, 271013930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71013930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97179264).

71013930 is an abundant number, since it is smaller than the sum of its proper divisors (123344598).

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

71013930 is a wasteful number, since it uses less digits than its factorization.

71013930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751.

The product of its (nonzero) digits is 567, while the sum is 24.

The square root of 71013930 is about 8426.9763260614. The cubic root of 71013930 is about 414.1088537307.

Adding to 71013930 its reverse (3931017), we get a palindrome (74944947).

The spelling of 71013930 in words is "seventy-one million, thirteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 10711 21422 32133 53555 64266 107110 139243 160665 182087 278486 321330 364174 417729 546261 696215 835458 910435 1092522 1392430 1820870 2088645 2367131 2731305 4177290 4734262 5462610 7101393 11835655 14202786 23671310 35506965 71013930