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71731680 = 2535149441
BaseRepresentation
bin1000100011010…
…00100111100000
311222222100100220
410101220213200
5121330403210
611041243040
71530465156
oct421504740
9158870326
1071731680
1137544089
1220033480
1311b26aa7
1497533d6
15646dc70
hex44689e0

71731680 has 48 divisors (see below), whose sum is σ = 225956304. Its totient is φ = 19128320.

The previous prime is 71731679. The next prime is 71731717. The reversal of 71731680 is 8613717.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74241 + ... + 75200.

It is an arithmetic number, because the mean of its divisors is an integer number (4707423).

Almost surely, 271731680 is an apocalyptic number.

It is an amenable number.

71731680 is an abundant number, since it is smaller than the sum of its proper divisors (154224624).

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

71731680 is a wasteful number, since it uses less digits than its factorization.

71731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149459 (or 149451 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 71731680 is about 8469.4557086037. The cubic root of 71731680 is about 415.4993360460.

The spelling of 71731680 in words is "seventy-one million, seven hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 149441 298882 448323 597764 747205 896646 1195528 1494410 1793292 2241615 2391056 2988820 3586584 4483230 4782112 5977640 7173168 8966460 11955280 14346336 17932920 23910560 35865840 71731680