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182999040 = 2113572337
BaseRepresentation
bin10101110100001…
…01100000000000
3110202100022111020
422322011200000
5333321432130
630054145440
74351315620
oct1272054000
9422308436
10182999040
1194330984
1251352280
132bbb3c73
141a438880
15110ebe10
hexae85800

182999040 has 384 divisors, whose sum is σ = 717050880. Its totient is φ = 38928384.

The previous prime is 182999027. The next prime is 182999057. The reversal of 182999040 is 40999281.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 182998983 and 182999001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4945902 + ... + 4945938.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2182999040 is an apocalyptic number.

182999040 is a gapful number since it is divisible by the number (10) 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 182999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

182999040 is an abundant number, since it is smaller than the sum of its proper divisors (534051840).

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

182999040 is a wasteful number, since it uses less digits than its factorization.

182999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 182999040 is about 13527.7137758011. The cubic root of 182999040 is about 567.7401443114.

The spelling of 182999040 in words is "one hundred eighty-two million, nine hundred ninety-nine thousand, forty".