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71456 = 2571129
BaseRepresentation
bin10001011100100000
310122000112
4101130200
54241311
61310452
7415220
oct213440
9118015
1071456
1149760
1235428
13266a8
141c080
151628b
hex11720

71456 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 26880.

The previous prime is 71453. The next prime is 71471. The reversal of 71456 is 65417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2450 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

271456 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 71456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

71456 is an abundant number, since it is smaller than the sum of its proper divisors (109984).

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

71456 is a wasteful number, since it uses less digits than its factorization.

71456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 49 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 71456 is about 267.3125511457. The cubic root of 71456 is about 41.4966368785.

The spelling of 71456 in words is "seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 928 1232 1276 1624 2233 2464 2552 3248 4466 5104 6496 8932 10208 17864 35728 71456