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23000820 = 2235383347
BaseRepresentation
bin101011110111…
…1011011110100
31121021120012020
41113233123310
521342011240
62140553140
7366334533
oct127573364
947246166
1023000820
1111a8a947
1278527b0
1349c426b
1430aa31a
1520450d0
hex15ef6f4

23000820 has 24 divisors (see below), whose sum is σ = 64402464. Its totient is φ = 6133536.

The previous prime is 23000777. The next prime is 23000821. The reversal of 23000820 is 2800032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23000820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191614 + ... + 191733.

It is an arithmetic number, because the mean of its divisors is an integer number (2683436).

Almost surely, 223000820 is an apocalyptic number.

23000820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23000820 is an abundant number, since it is smaller than the sum of its proper divisors (41401644).

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

23000820 is a wasteful number, since it uses less digits than its factorization.

23000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383359 (or 383357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23000820 is about 4795.9170134605. The cubic root of 23000820 is about 284.3900776130.

Adding to 23000820 its reverse (2800032), we get a palindrome (25800852).

The spelling of 23000820 in words is "twenty-three million, eight hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 383347 766694 1150041 1533388 1916735 2300082 3833470 4600164 5750205 7666940 11500410 23000820