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71147960 = 23513612243
BaseRepresentation
bin1000011110110…
…10000110111000
311221212200122122
410033122012320
5121203213320
611020540412
71522514312
oct417320670
9157780578
1071147960
1137185574
121b9b1708
13119811b0
1496407b2
1563a5d25
hex43da1b8

71147960 has 64 divisors (see below), whose sum is σ = 175301280. Its totient is φ = 25827840.

The previous prime is 71147959. The next prime is 71147963. The reversal of 71147960 is 6974117.

It is a self number, because there is not a number n which added to its sum of digits gives 71147960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71147963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30599 + ... + 32841.

Almost surely, 271147960 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 71147960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640).

71147960 is an abundant number, since it is smaller than the sum of its proper divisors (104153320).

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

71147960 is a wasteful number, since it uses less digits than its factorization.

71147960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 71147960 is about 8434.9250144859. The cubic root of 71147960 is about 414.3692163942.

The spelling of 71147960 in words is "seventy-one million, one hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2243 2440 3172 3965 4486 6344 7930 8972 11215 15860 17944 22430 29159 31720 44860 58318 89720 116636 136823 145795 233272 273646 291590 547292 583180 684115 1094584 1166360 1368230 1778699 2736460 3557398 5472920 7114796 8893495 14229592 17786990 35573980 71147960