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81530000 = 245431263
BaseRepresentation
bin1001101110000…
…00110010010000
312200102011010122
410313000302100
5131332430000
612031245412
72006664536
oct467006220
9180364118
1081530000
1142026772
1223379868
1313b77906
14ab84156
157257085
hex4dc0c90

81530000 has 100 divisors (see below), whose sum is σ = 204534528. Its totient is φ = 31440000.

The previous prime is 81529993. The next prime is 81530051. The reversal of 81530000 is 3518.

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

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, 309869 + ... + 310131.

Almost surely, 281530000 is an apocalyptic number.

81530000 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 81530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102267264).

81530000 is an abundant number, since it is smaller than the sum of its proper divisors (123004528).

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

81530000 is a wasteful number, since it uses less digits than its factorization.

81530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 81530000 is about 9029.3964360859. The cubic root of 81530000 is about 433.6165144421.

Adding to 81530000 its reverse (3518), we get a palindrome (81533518).

The spelling of 81530000 in words is "eighty-one million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 263 310 400 496 500 526 620 625 775 1000 1052 1240 1250 1315 1550 2000 2104 2480 2500 2630 3100 3875 4208 5000 5260 6200 6575 7750 8153 10000 10520 12400 13150 15500 16306 19375 21040 26300 31000 32612 32875 38750 40765 52600 62000 65224 65750 77500 81530 105200 130448 131500 155000 163060 164375 203825 263000 310000 326120 328750 407650 526000 652240 657500 815300 1019125 1315000 1630600 2038250 2630000 3261200 4076500 5095625 8153000 10191250 16306000 20382500 40765000 81530000