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71831680 = 275112237
BaseRepresentation
bin1000100100000…
…01000010000000
312000011102112121
410102001002000
5121342103210
611043334024
71531362544
oct422010200
9160142477
1071831680
1137602228
1220081314
1311b6046b
14977ba24
15648d6da
hex4481080

71831680 has 32 divisors (see below), whose sum is σ = 171724140. Its totient is φ = 28732416.

The previous prime is 71831663. The next prime is 71831687. The reversal of 71831680 is 8613817.

It can be written as a sum of positive squares in 2 ways, for example, as 69089344 + 2742336 = 8312^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (71831687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55479 + ... + 56758.

Almost surely, 271831680 is an apocalyptic number.

It is an amenable number.

71831680 is an abundant number, since it is smaller than the sum of its proper divisors (99892460).

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

71831680 is a wasteful number, since it uses less digits than its factorization.

71831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112256 (or 112244 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 71831680 is about 8475.3572196103. The cubic root of 71831680 is about 415.6923267418.

The spelling of 71831680 in words is "seventy-one million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 112237 224474 448948 561185 897896 1122370 1795792 2244740 3591584 4489480 7183168 8978960 14366336 17957920 35915840 71831680