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71397000 = 2332537933
BaseRepresentation
bin1000100000101…
…10111010001000
311222100100021100
410100112322020
5121234201000
611030141400
71524602343
oct420267210
9158310240
1071397000
1137335694
121bab1860
1311a3a65c
1496a745a
156404a00
hex4416e88

71397000 has 96 divisors (see below), whose sum is σ = 241352280. Its totient is φ = 19036800.

The previous prime is 71396977. The next prime is 71397017. The reversal of 71397000 is 79317.

It can be written as a sum of positive squares in 4 ways, for example, as 14152644 + 57244356 = 3762^2 + 7566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5034 + ... + 12966.

Almost surely, 271397000 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 71397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120676140).

71397000 is an abundant number, since it is smaller than the sum of its proper divisors (169955280).

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

71397000 is a wasteful number, since it uses less digits than its factorization.

71397000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7960 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 71397000 is about 8449.6745499457. The cubic root of 71397000 is about 414.8521271197.

The spelling of 71397000 in words is "seventy-one million, three hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 7933 9000 15866 23799 31732 39665 47598 63464 71397 79330 95196 118995 142794 158660 190392 198325 237990 285588 317320 356985 396650 475980 571176 594975 713970 793300 951960 991625 1189950 1427940 1586600 1784925 1983250 2379900 2855880 2974875 3569850 3966500 4759800 5949750 7139700 7933000 8924625 11899500 14279400 17849250 23799000 35698500 71397000