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81830700 = 223252731419
BaseRepresentation
bin1001110000010…
…10001100101100
312200222102121200
410320022030230
5131422040300
612041525500
72012356320
oct470121454
9180872550
1081830700
1142211686
12234a3890
1313c51743
14ac21980
1572b6200
hex4e0a32c

81830700 has 216 divisors, whose sum is σ = 303313920. Its totient is φ = 18057600.

The previous prime is 81830689. The next prime is 81830729. The reversal of 81830700 is 703818.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195091 + ... + 195509.

Almost surely, 281830700 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 81830700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

81830700 is an abundant number, since it is smaller than the sum of its proper divisors (221483220).

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

81830700 is a wasteful number, since it uses less digits than its factorization.

81830700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 81830700 is about 9046.0322794029. The cubic root of 81830700 is about 434.1489504099.

The spelling of 81830700 in words is "eighty-one million, eight hundred thirty thousand, seven hundred".