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71146530 = 232572131773
BaseRepresentation
bin1000011110110…
…01110000100010
311221212121200200
410033121300202
5121203142110
611020530030
71522510200
oct417316042
9157777620
1071146530
1137184494
121b9b0916
1311980650
149640070
1563a56c0
hex43d9c22

71146530 has 288 divisors, whose sum is σ = 248727024. Its totient is φ = 13934592.

The previous prime is 71146499. The next prime is 71146561. The reversal of 71146530 is 3564117.

71146530 is a `hidden beast` number, since 7 + 1 + 1 + 4 + 653 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71146499) and next prime (71146561).

It can be written as a sum of positive squares in 8 ways, for example, as 29582721 + 41563809 = 5439^2 + 6447^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71146494 and 71146503.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 974574 + ... + 974646.

Almost surely, 271146530 is an apocalyptic number.

71146530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71146530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124363512).

71146530 is an abundant number, since it is smaller than the sum of its proper divisors (177580494).

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

71146530 is a wasteful number, since it uses less digits than its factorization.

71146530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71146530 is about 8434.8402474499. The cubic root of 71146530 is about 414.3664402455.

The spelling of 71146530 in words is "seventy-one million, one hundred forty-six thousand, five hundred thirty".