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71330000 = 245471019
BaseRepresentation
bin1000100000001…
…10100011010000
311222012221100212
410100012203100
5121230030000
611024503252
71524203120
oct420064320
9158187325
1071330000
113729a315
121ba7ab28
1311a16001
14968ac80
1563dec35
hex44068d0

71330000 has 100 divisors (see below), whose sum is σ = 197561760. Its totient is φ = 24432000.

The previous prime is 71329987. The next prime is 71330003. The reversal of 71330000 is 3317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71330003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69491 + ... + 70509.

Almost surely, 271330000 is an apocalyptic number.

71330000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98780880).

71330000 is an abundant number, since it is smaller than the sum of its proper divisors (126231760).

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

71330000 is a wasteful number, since it uses less digits than its factorization.

71330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 71330000 is about 8445.7089696484. The cubic root of 71330000 is about 414.7223187174.

Adding to 71330000 its reverse (3317), we get a palindrome (71333317).

The spelling of 71330000 in words is "seventy-one million, three hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1019 1250 1400 1750 2000 2038 2500 2800 3500 4076 4375 5000 5095 7000 7133 8152 8750 10000 10190 14000 14266 16304 17500 20380 25475 28532 35000 35665 40760 50950 57064 70000 71330 81520 101900 114128 127375 142660 178325 203800 254750 285320 356650 407600 509500 570640 636875 713300 891625 1019000 1273750 1426600 1783250 2038000 2547500 2853200 3566500 4458125 5095000 7133000 8916250 10190000 14266000 17832500 35665000 71330000