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71164704 = 25313127449
BaseRepresentation
bin1000011110111…
…10001100100000
311221220112121210
410033132030200
5121204232304
611021150120
71522614162
oct417361440
9157815553
1071164704
1137197106
121b9bb340
13119889c0
149646932
1563aac89
hex43de320

71164704 has 96 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 21676032.

The previous prime is 71164693. The next prime is 71164739. The reversal of 71164704 is 40746117.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158272 + ... + 158720.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 271164704 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 71164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

71164704 is an abundant number, since it is smaller than the sum of its proper divisors (132048096).

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

71164704 is a wasteful number, since it uses less digits than its factorization.

71164704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 71164704 is about 8435.9174960404. The cubic root of 71164704 is about 414.4017198042.

The spelling of 71164704 in words is "seventy-one million, one hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 449 508 624 762 898 1016 1248 1347 1524 1651 1796 2032 2694 3048 3302 3592 4064 4953 5388 5837 6096 6604 7184 9906 10776 11674 12192 13208 14368 17511 19812 21552 23348 26416 35022 39624 43104 46696 52832 57023 70044 79248 93392 114046 140088 158496 171069 186784 228092 280176 342138 456184 560352 684276 741299 912368 1368552 1482598 1824736 2223897 2737104 2965196 4447794 5474208 5930392 8895588 11860784 17791176 23721568 35582352 71164704