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23040096 = 2531072243
BaseRepresentation
bin101011111100…
…1000001100000
31121100120001220
41113321001200
521344240341
62141455040
7366560202
oct127710140
947316056
1023040096
1112007402
127871480
134a090c1
1430ba772
152051a66
hex15f9060

23040096 has 48 divisors (see below), whose sum is σ = 61072704. Its totient is φ = 7604864.

The previous prime is 23040091. The next prime is 23040109. The reversal of 23040096 is 69004032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23040091) 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, 9151 + ... + 11393.

It is an arithmetic number, because the mean of its divisors is an integer number (1272348).

Almost surely, 223040096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30536352).

23040096 is an abundant number, since it is smaller than the sum of its proper divisors (38032608).

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

23040096 is a wasteful number, since it uses less digits than its factorization.

23040096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23040096 is about 4800.0099999896. The cubic root of 23040096 is about 284.5518595690.

The spelling of 23040096 in words is "twenty-three million, forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2243 2568 3424 4486 5136 6729 8972 10272 13458 17944 26916 35888 53832 71776 107664 215328 240001 480002 720003 960004 1440006 1920008 2880012 3840016 5760024 7680032 11520048 23040096