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71421696 = 283310333
BaseRepresentation
bin1000100000111…
…00111100000000
311222101121011000
410100130330000
5121240443241
611030452000
71525034343
oct420347400
9158347130
1071421696
11373521a5
121bb04000
1311a48978
1496b245a
15640beb6
hex441cf00

71421696 has 72 divisors (see below), whose sum is σ = 211226960. Its totient is φ = 23804928.

The previous prime is 71421689. The next prime is 71421731. The reversal of 71421696 is 69612417.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71421696.

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, 1746 + ... + 12078.

Almost surely, 271421696 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 71421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105613480).

71421696 is an abundant number, since it is smaller than the sum of its proper divisors (139805264).

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

71421696 is a wasteful number, since it uses less digits than its factorization.

71421696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10338 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 71421696 is about 8451.1357816568. The cubic root of 71421696 is about 414.8999536255.

The spelling of 71421696 in words is "seventy-one million, four hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 10333 20666 30999 41332 61998 82664 92997 123996 165328 185994 247992 278991 330656 371988 495984 557982 661312 743976 991968 1115964 1322624 1487952 1983936 2231928 2645248 2975904 3967872 4463856 5951808 7935744 8927712 11903616 17855424 23807232 35710848 71421696