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81330000 = 243542711
BaseRepresentation
bin1001101100011…
…11111101010000
312200000222210020
410312033331100
5131310030000
612023103440
72005202463
oct466177520
9180028706
1081330000
11419aa484
12232a1b80
1313b0787b
14ab312da
157217ba0
hex4d8ff50

81330000 has 100 divisors (see below), whose sum is σ = 262640928. Its totient is φ = 21680000.

The previous prime is 81329993. The next prime is 81330017. The reversal of 81330000 is 3318.

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

It is a super-2 number, since 2×813300002 = 13229137800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28645 + ... + 31355.

Almost surely, 281330000 is an apocalyptic number.

81330000 is a gapful number since it is divisible by the number (80) 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 81330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131320464).

81330000 is an abundant number, since it is smaller than the sum of its proper divisors (181310928).

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

81330000 is a wasteful number, since it uses less digits than its factorization.

81330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 81330000 is about 9018.3146984345. The cubic root of 81330000 is about 433.2616580992.

Adding to 81330000 its reverse (3318), we get a palindrome (81333318).

The spelling of 81330000 in words is "eighty-one million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 2711 3000 3750 5000 5422 6000 7500 8133 10000 10844 13555 15000 16266 21688 27110 30000 32532 40665 43376 54220 65064 67775 81330 108440 130128 135550 162660 203325 216880 271100 325320 338875 406650 542200 650640 677750 813300 1016625 1084400 1355500 1626600 1694375 2033250 2711000 3253200 3388750 4066500 5083125 5422000 6777500 8133000 10166250 13555000 16266000 20332500 27110000 40665000 81330000