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71895680 = 275112337
BaseRepresentation
bin1000100100100…
…00101010000000
312000021200022222
410102100222000
5121401130210
611044550212
71532050253
oct422205200
9160250288
1071895680
113764631a
12200b2368
1311b8362c
14979709a
1564a2655
hex4490a80

71895680 has 32 divisors (see below), whose sum is σ = 171877140. Its totient is φ = 28758016.

The previous prime is 71895661. The next prime is 71895701. The reversal of 71895680 is 8659817.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70694464 + 1201216 = 8408^2 + 1096^2 .

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 55529 + ... + 56808.

Almost surely, 271895680 is an apocalyptic number.

It is an amenable number.

71895680 is an abundant number, since it is smaller than the sum of its proper divisors (99981460).

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

71895680 is a wasteful number, since it uses less digits than its factorization.

71895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112356 (or 112344 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 71895680 is about 8479.1320310513. The cubic root of 71895680 is about 415.8157468057.

The spelling of 71895680 in words is "seventy-one million, eight hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 112337 224674 449348 561685 898696 1123370 1797392 2246740 3594784 4493480 7189568 8986960 14379136 17973920 35947840 71895680