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23006853 = 3219831621
BaseRepresentation
bin101011111000…
…0111010000101
31121021212110200
41113300322011
521342204403
62141041113
7366361242
oct127607205
947255420
1023006853
1111a94431
127856199
1349c6c2c
1430ac5c9
152046ca3
hex15f0e85

23006853 has 24 divisors (see below), whose sum is σ = 35424480. Its totient is φ = 14346720.

The previous prime is 23006843. The next prime is 23006861. The reversal of 23006853 is 35860032.

It is not a de Polignac number, because 23006853 - 214 = 22990469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006803) 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 23 ways as a sum of consecutive naturals, for example, 13383 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (1476020).

Almost surely, 223006853 is an apocalyptic number.

It is an amenable number.

23006853 is a deficient number, since it is larger than the sum of its proper divisors (12417627).

23006853 is a wasteful number, since it uses less digits than its factorization.

23006853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23006853 is about 4796.5459447398. The cubic root of 23006853 is about 284.4149401375.

Adding to 23006853 its reverse (35860032), we get a palindrome (58866885).

The spelling of 23006853 in words is "twenty-three million, six thousand, eight hundred fifty-three".

Divisors: 1 3 9 19 57 83 171 249 747 1577 1621 4731 4863 14193 14589 30799 92397 134543 277191 403629 1210887 2556317 7668951 23006853