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181421424 = 24331923312
BaseRepresentation
bin10101101000001…
…00010101110000
3110122101011102000
422310010111300
5332420441144
630000254000
74332025302
oct1264042560
9418334360
10181421424
1193453668
1250911300
132b780b72
141a147972
1510dd9769
hexad04570

181421424 has 240 divisors, whose sum is σ = 591033600. Its totient is φ = 53032320.

The previous prime is 181421423. The next prime is 181421509. The reversal of 181421424 is 424124181.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181421423) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5852289 + ... + 5852319.

It is an arithmetic number, because the mean of its divisors is an integer number (2462640).

Almost surely, 2181421424 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 181421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295516800).

181421424 is an abundant number, since it is smaller than the sum of its proper divisors (409612176).

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

181421424 is a wasteful number, since it uses less digits than its factorization.

181421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 181421424 is about 13469.2770407324. The cubic root of 181421424 is about 566.1039568985.

The spelling of 181421424 in words is "one hundred eighty-one million, four hundred twenty-one thousand, four hundred twenty-four".