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81830112 = 253713171929
BaseRepresentation
bin1001110000010…
…10000011100000
312200222101210220
410320022003200
5131422030422
612041523040
72012354520
oct470120340
9180871726
1081830112
11422111a1
12234a3480
1313c513b0
14ac21680
1572b5e5c
hex4e0a0e0

81830112 has 384 divisors, whose sum is σ = 304819200. Its totient is φ = 18579456.

The previous prime is 81830081. The next prime is 81830117. The reversal of 81830112 is 21103818.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81830117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2821714 + ... + 2821742.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 281830112 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 81830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

81830112 is an abundant number, since it is smaller than the sum of its proper divisors (222989088).

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

81830112 is a wasteful number, since it uses less digits than its factorization.

81830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 81830112 is about 9045.9997789078. Note that the first 3 decimals coincide. The cubic root of 81830112 is about 434.1479105386.

The spelling of 81830112 in words is "eighty-one million, eight hundred thirty thousand, one hundred twelve".