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182075040 = 253657223
BaseRepresentation
bin10101101101000…
…11111010100000
3110200121101000000
422312203322200
5333102400130
630022300000
74340420010
oct1266437240
9420541000
10182075040
119385a744
1250b87600
132b94c514
141a277c40
1510eb8260
hexada3ea0

182075040 has 336 divisors, whose sum is σ = 740371968. Its totient is φ = 41430528.

The previous prime is 182075009. The next prime is 182075051. The reversal of 182075040 is 40570281.

182075040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 182074995 and 182075013.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816369 + ... + 816591.

It is an arithmetic number, because the mean of its divisors is an integer number (2203488).

Almost surely, 2182075040 is an apocalyptic number.

182075040 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 182075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370185984).

182075040 is an abundant number, since it is smaller than the sum of its proper divisors (558296928).

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

182075040 is an equidigital number, since it uses as much as digits as its factorization.

182075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 182075040 is about 13493.5184440531. The cubic root of 182075040 is about 566.7829857334.

The spelling of 182075040 in words is "one hundred eighty-two million, seventy-five thousand, forty".