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71471680 = 265731907
BaseRepresentation
bin1000100001010…
…01001001000000
311222111010201021
410100221021000
5121244043210
611031515224
71525333150
oct420511100
9158433637
1071471680
1137386805
121bb28b14
1311a65647
1496c6760
15641bbda
hex4429240

71471680 has 56 divisors (see below), whose sum is σ = 194511168. Its totient is φ = 24503808.

The previous prime is 71471677. The next prime is 71471681. The reversal of 71471680 is 8617417.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71471681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13714 + ... + 18193.

Almost surely, 271471680 is an apocalyptic number.

71471680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71471680 is an abundant number, since it is smaller than the sum of its proper divisors (123039488).

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

71471680 is a wasteful number, since it uses less digits than its factorization.

71471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31931 (or 31921 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 71471680 is about 8454.0925000854. The cubic root of 71471680 is about 414.9967193818.

The spelling of 71471680 in words is "seventy-one million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 31907 63814 127628 159535 223349 255256 319070 446698 510512 638140 893396 1021024 1116745 1276280 1786792 2042048 2233490 2552560 3573584 4466980 5105120 7147168 8933960 10210240 14294336 17867920 35735840 71471680