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71454080 = 275971151
BaseRepresentation
bin1000100001001…
…00110110000000
311222110020120102
410100210312000
5121243012310
611031301532
71525230635
oct420446600
9158406512
1071454080
1137374565
121bb1a8a8
1311a5a629
1496c018c
1564168a5
hex4424d80

71454080 has 64 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 28262400.

The previous prime is 71454037. The next prime is 71454107. The reversal of 71454080 is 8045417.

It is a tau number, because it is divible by the number of its divisors (64).

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, 61505 + ... + 62655.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 271454080 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 71454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

71454080 is an abundant number, since it is smaller than the sum of its proper divisors (101276800).

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

71454080 is a wasteful number, since it uses less digits than its factorization.

71454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 71454080 is about 8453.0515200133. The cubic root of 71454080 is about 414.9626520800.

Adding to 71454080 its reverse (8045417), we get a palindrome (79499497).

The spelling of 71454080 in words is "seventy-one million, four hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1151 1552 1940 2302 3104 3880 4604 5755 6208 7760 9208 11510 12416 15520 18416 23020 31040 36832 46040 62080 73664 92080 111647 147328 184160 223294 368320 446588 558235 736640 893176 1116470 1786352 2232940 3572704 4465880 7145408 8931760 14290816 17863520 35727040 71454080