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23042560 = 2959001
BaseRepresentation
bin101011111100…
…1101000000000
31121100200110011
41113321220000
521344330220
62141514304
7366600322
oct127715000
947320404
1023042560
1112009242
127872994
134a0a268
1430bb612
15205265a
hex15f9a00

23042560 has 40 divisors (see below), whose sum is σ = 55254276. Its totient is φ = 9216000.

The previous prime is 23042479. The next prime is 23042561. The reversal of 23042560 is 6524032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21678336 + 1364224 = 4656^2 + 1168^2 .

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 (23042561) 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 3 ways as a sum of consecutive naturals, for example, 1941 + ... + 7060.

Almost surely, 223042560 is an apocalyptic number.

23042560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23042560 is an abundant number, since it is smaller than the sum of its proper divisors (32211716).

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

23042560 is an frugal number, since it uses more digits than its factorization.

23042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 23042560 is about 4800.2666592597. The cubic root of 23042560 is about 284.5620029120.

Adding to 23042560 its reverse (6524032), we get a palindrome (29566592).

The spelling of 23042560 in words is "twenty-three million, forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 9001 18002 36004 45005 72008 90010 144016 180020 288032 360040 576064 720080 1152128 1440160 2304256 2880320 4608512 5760640 11521280 23042560