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71330420 = 22571373719
BaseRepresentation
bin1000100000001…
…10101001110100
311222012221221102
410100012221310
5121230033140
611024505232
71524204260
oct420065164
9158187842
1071330420
113729a667
121ba7b218
1311a16265
14968b0a0
1563dee15
hex4406a74

71330420 has 48 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 24271104.

The previous prime is 71330407. The next prime is 71330423. The reversal of 71330420 is 2403317.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 71330392 and 71330401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71330423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17321 + ... + 21039.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 271330420 is an apocalyptic number.

71330420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

71330420 is an abundant number, since it is smaller than the sum of its proper divisors (101158540).

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

71330420 is a wasteful number, since it uses less digits than its factorization.

71330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 71330420 is about 8445.7338343095. The cubic root of 71330420 is about 414.7231326949.

Adding to 71330420 its reverse (2403317), we get a palindrome (73733737).

The spelling of 71330420 in words is "seventy-one million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3719 3836 4795 7438 9590 14876 18595 19180 26033 37190 52066 74380 104132 130165 260330 509503 520660 1019006 2038012 2547515 3566521 5095030 7133042 10190060 14266084 17832605 35665210 71330420