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23135040 = 2632529277
BaseRepresentation
bin101100001000…
…0001101000000
31121112101022100
41120100031000
521410310130
62143510400
7400434045
oct130201500
947471270
1023135040
1112071775
1278b8400
134a40396
1431031cc
15206ec60
hex1610340

23135040 has 168 divisors, whose sum is σ = 82616040. Its totient is φ = 5935104.

The previous prime is 23135023. The next prime is 23135051. The reversal of 23135040 is 4053132.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 22581504 = 744^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83382 + ... + 83658.

Almost surely, 223135040 is an apocalyptic number.

23135040 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 23135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41308020).

23135040 is an abundant number, since it is smaller than the sum of its proper divisors (59481000).

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

23135040 is a wasteful number, since it uses less digits than its factorization.

23135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23135040 is about 4809.8898116277. The cubic root of 23135040 is about 284.9421858721.

Adding to 23135040 its reverse (4053132), we get a palindrome (27188172).

The spelling of 23135040 in words is "twenty-three million, one hundred thirty-five thousand, forty".