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23023760 = 245793643
BaseRepresentation
bin101011111010…
…1000010010000
31121022201122212
41113311002100
521343230020
62141251252
7366461444
oct127650220
947281585
1023023760
1111aa6101
127863b28
134a01836
1430b4824
15204bcc5
hex15f5090

23023760 has 40 divisors (see below), whose sum is σ = 54222720. Its totient is φ = 9090432.

The previous prime is 23023757. The next prime is 23023769. The reversal of 23023760 is 6732032.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (23023769) 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 7 ways as a sum of consecutive naturals, for example, 4499 + ... + 8141.

It is an arithmetic number, because the mean of its divisors is an integer number (1355568).

Almost surely, 223023760 is an apocalyptic number.

23023760 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 23023760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27111360).

23023760 is an abundant number, since it is smaller than the sum of its proper divisors (31198960).

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

23023760 is a wasteful number, since it uses less digits than its factorization.

23023760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 23023760 is about 4798.3080351307. The cubic root of 23023760 is about 284.4845922244.

Adding to 23023760 its reverse (6732032), we get a palindrome (29755792).

The spelling of 23023760 in words is "twenty-three million, twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 3643 6320 7286 14572 18215 29144 36430 58288 72860 145720 287797 291440 575594 1151188 1438985 2302376 2877970 4604752 5755940 11511880 23023760