Search a number
-
+
71106056 = 2372199547
BaseRepresentation
bin1000011110011…
…11111000001000
311221210120011122
410033033320020
5121200343211
611020014412
71522251200
oct417177010
9157716148
1071106056
113715703a
121b991408
13119680b8
14962d400
1563986db
hex43cfe08

71106056 has 48 divisors (see below), whose sum is σ = 163270800. Its totient is φ = 28867104.

The previous prime is 71106029. The next prime is 71106067. The reversal of 71106056 is 65060117.

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 11 ways as a sum of consecutive naturals, for example, 2675 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (3401475).

Almost surely, 271106056 is an apocalyptic number.

71106056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71106056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81635400).

71106056 is an abundant number, since it is smaller than the sum of its proper divisors (92164744).

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

71106056 is a wasteful number, since it uses less digits than its factorization.

71106056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 71106056 is about 8432.4406905711. The cubic root of 71106056 is about 414.2878500994.

The spelling of 71106056 in words is "seventy-one million, one hundred six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 7448 9547 19094 38188 66829 76376 133658 181393 267316 362786 467803 534632 725572 935606 1269751 1451144 1871212 2539502 3742424 5079004 8888257 10158008 17776514 35553028 71106056