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23037840 = 2432572653
BaseRepresentation
bin101011111100…
…0011110010000
31121100102222100
41113320132100
521344202330
62141440400
7366550500
oct127703620
947312870
1023037840
1112005741
127870100
134a08077
1430b9a00
152051060
hex15f8790

23037840 has 180 divisors, whose sum is σ = 90138204. Its totient is φ = 5257728.

The previous prime is 23037829. The next prime is 23037841. The reversal of 23037840 is 4873032.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 16257024 = 2604^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23037841) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 34954 + ... + 35606.

Almost surely, 223037840 is an apocalyptic number.

23037840 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 23037840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45069102).

23037840 is an abundant number, since it is smaller than the sum of its proper divisors (67100364).

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

23037840 is a wasteful number, since it uses less digits than its factorization.

23037840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23037840 is about 4799.7749947263. The cubic root of 23037840 is about 284.5425718480.

The spelling of 23037840 in words is "twenty-three million, thirty-seven thousand, eight hundred forty".