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71328060 = 22335235743
BaseRepresentation
bin1000100000001…
…10000100111100
311222012211201000
410100012010330
5121224444220
611024450300
71524164346
oct420060474
9158184630
1071328060
1137298911
121ba79990
1311a1516b
14968a296
1563de390
hex440613c

71328060 has 96 divisors (see below), whose sum is σ = 231598080. Its totient is φ = 18190656.

The previous prime is 71328041. The next prime is 71328079. The reversal of 71328060 is 6082317.

It is an interprime number because it is at equal distance from previous prime (71328041) and next prime (71328079).

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

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, 9549 + ... + 15291.

It is an arithmetic number, because the mean of its divisors is an integer number (2412480).

Almost surely, 271328060 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 71328060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115799040).

71328060 is an abundant number, since it is smaller than the sum of its proper divisors (160270020).

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

71328060 is a wasteful number, since it uses less digits than its factorization.

71328060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71328060 is about 8445.5941176450. The cubic root of 71328060 is about 414.7185588754.

The spelling of 71328060 in words is "seventy-one million, three hundred twenty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 5743 6210 11486 12420 17229 22972 28715 34458 51687 57430 68916 86145 103374 114860 132089 155061 172290 206748 258435 264178 310122 344580 396267 516870 528356 620244 660445 775305 792534 1033740 1188801 1320890 1550610 1585068 1981335 2377602 2641780 3101220 3566403 3962670 4755204 5944005 7132806 7925340 11888010 14265612 17832015 23776020 35664030 71328060