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71461680 = 2435297757
BaseRepresentation
bin1000100001001…
…10101100110000
311222110121222220
410100212230300
5121243233210
611031401040
71525262043
oct420465460
9158417886
1071461680
113737a244
121bb23180
1311a60c24
1496c2c5a
156418c70
hex4426b30

71461680 has 40 divisors (see below), whose sum is σ = 221531952. Its totient is φ = 19056384.

The previous prime is 71461669. The next prime is 71461681. The reversal of 71461680 is 8616417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (71461681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148639 + ... + 149118.

Almost surely, 271461680 is an apocalyptic number.

It is an amenable number.

71461680 is an abundant number, since it is smaller than the sum of its proper divisors (150070272).

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

71461680 is a wasteful number, since it uses less digits than its factorization.

71461680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297773 (or 297767 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71461680 is about 8453.5010498609. The cubic root of 71461680 is about 414.9773636465.

The spelling of 71461680 in words is "seventy-one million, four hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 297757 595514 893271 1191028 1488785 1786542 2382056 2977570 3573084 4466355 4764112 5955140 7146168 8932710 11910280 14292336 17865420 23820560 35730840 71461680