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71300124 = 22327319127
BaseRepresentation
bin1000011111111…
…11010000011100
311222011102101100
410033333100130
5121223100444
611024113100
71524020040
oct417772034
9158142340
1071300124
1137279925
121ba65790
1311a0552c
149680020
1563d5e69
hex43ff41c

71300124 has 72 divisors (see below), whose sum is σ = 212645888. Its totient is φ = 19712160.

The previous prime is 71300113. The next prime is 71300129. The reversal of 71300124 is 42100317.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 71300097 and 71300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71300129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3249 + ... + 12375.

Almost surely, 271300124 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 71300124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106322944).

71300124 is an abundant number, since it is smaller than the sum of its proper divisors (141345764).

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

71300124 is a wasteful number, since it uses less digits than its factorization.

71300124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71300124 is about 8443.9400755808. The cubic root of 71300124 is about 414.6644095897.

The spelling of 71300124 in words is "seventy-one million, three hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 9127 18254 27381 36508 54762 63889 82143 109524 127778 164286 191667 255556 282937 328572 383334 565874 575001 766668 848811 1131748 1150002 1697622 1980559 2300004 2546433 3395244 3961118 5092866 5941677 7922236 10185732 11883354 17825031 23766708 35650062 71300124