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71012916 = 223313371367
BaseRepresentation
bin1000011101110…
…01001000110100
311221121211102000
410032321020310
5121134403131
611014015300
71521412512
oct416711064
9157554360
1071012916
11370a3067
121b947530
13119348a0
1496074b2
15637ace6
hex43b9234

71012916 has 96 divisors (see below), whose sum is σ = 203777280. Its totient is φ = 21244032.

The previous prime is 71012869. The next prime is 71012923. The reversal of 71012916 is 61921017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71012916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51265 + ... + 52631.

It is an arithmetic number, because the mean of its divisors is an integer number (2122680).

Almost surely, 271012916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71012916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101888640).

71012916 is an abundant number, since it is smaller than the sum of its proper divisors (132764364).

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

71012916 is a wasteful number, since it uses less digits than its factorization.

71012916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 71012916 is about 8426.9161619183. The cubic root of 71012916 is about 414.1068827166.

The spelling of 71012916 in words is "seventy-one million, twelve thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1332 1367 1404 1443 1924 1998 2734 2886 3996 4101 4329 5468 5772 8202 8658 12303 12987 16404 17316 17771 24606 25974 35542 36909 49212 50579 51948 53313 71084 73818 101158 106626 147636 151737 159939 202316 213252 303474 319878 455211 479817 606948 639756 657527 910422 959634 1315054 1365633 1820844 1919268 1972581 2630108 2731266 3945162 5462532 5917743 7890324 11835486 17753229 23670972 35506458 71012916