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71303168 = 22217
BaseRepresentation
bin1000100000000…
…00000000000000
311222011120120002
410100000000000
5121223200133
611024135132
71524031646
oct420000000
9158146502
1071303168
1137281142
121ba674a8
1311a06a31
149681196
1563d6ce8
hex4400000

71303168 has 46 divisors (see below), whose sum is σ = 150994926. Its totient is φ = 33554432.

The previous prime is 71303153. The next prime is 71303171. The reversal of 71303168 is 86130317.

It can be written as a sum of positive squares in only one way, i.e., 67108864 + 4194304 = 8192^2 + 2048^2 .

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 71303168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 71303168 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4194296 + ... + 4194312.

Almost surely, 271303168 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 71303168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497463).

71303168 is an abundant number, since it is smaller than the sum of its proper divisors (79691758).

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

71303168 is an frugal number, since it uses more digits than its factorization.

71303168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 71303168 is about 8444.1203212650. The cubic root of 71303168 is about 414.6703105635.

The spelling of 71303168 in words is "seventy-one million, three hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8192 8704 16384 17408 32768 34816 65536 69632 131072 139264 262144 278528 524288 557056 1048576 1114112 2097152 2228224 4194304 4456448 8912896 17825792 35651584 71303168