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71454000 = 2435311909
BaseRepresentation
bin1000100001001…
…00110100110000
311222110020110110
410100210310300
5121243012000
611031301320
71525230462
oct420446460
9158406413
1071454000
11373744a2
121bb1a840
1311a5a597
1496c0132
156416850
hex4424d30

71454000 has 80 divisors (see below), whose sum is σ = 230387040. Its totient is φ = 19052800.

The previous prime is 71453989. The next prime is 71454001. The reversal of 71454000 is 45417.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (71454001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46 + ... + 11954.

It is an arithmetic number, because the mean of its divisors is an integer number (2879838).

Almost surely, 271454000 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 71454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115193520).

71454000 is an abundant number, since it is smaller than the sum of its proper divisors (158933040).

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

71454000 is a wasteful number, since it uses less digits than its factorization.

71454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11935 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 71454000 is about 8453.0467879931. The cubic root of 71454000 is about 414.9624972159.

Adding to 71454000 its reverse (45417), we get a palindrome (71499417).

The spelling of 71454000 in words is "seventy-one million, four hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 11909 23818 35727 47636 59545 71454 95272 119090 142908 178635 190544 238180 285816 297725 357270 476360 571632 595450 714540 893175 952720 1190900 1429080 1488625 1786350 2381800 2858160 2977250 3572700 4465875 4763600 5954500 7145400 8931750 11909000 14290800 17863500 23818000 35727000 71454000