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23540580 = 223257217157
BaseRepresentation
bin101100111001…
…1001101100100
31122021222121100
41121303031210
522011244310
62200320100
7404043300
oct131631544
948258540
1023540580
1112319428
127a73030
134b52b4b
1431aad00
1520eeec0
hex1673364

23540580 has 216 divisors, whose sum is σ = 88510968. Its totient is φ = 5031936.

The previous prime is 23540579. The next prime is 23540591. The reversal of 23540580 is 8504532.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 20575296 = 1722^2 + 4536^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149862 + ... + 150018.

It is an arithmetic number, because the mean of its divisors is an integer number (409773).

Almost surely, 223540580 is an apocalyptic number.

23540580 is a gapful number since it is divisible by the number (20) 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 23540580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44255484).

23540580 is an abundant number, since it is smaller than the sum of its proper divisors (64970388).

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

23540580 is a wasteful number, since it uses less digits than its factorization.

23540580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23540580 is about 4851.8635594996. The cubic root of 23540580 is about 286.5974924734.

The spelling of 23540580 in words is "twenty-three million, five hundred forty thousand, five hundred eighty".