Search a number
-
+
23763980 = 2253138329
BaseRepresentation
bin101101010100…
…1110000001100
31122201100001102
41122221300030
522040421410
62205202232
7405663512
oct132516014
948640042
1023763980
1112461259
127b60378
134c00736
1432284b2
1521462a5
hex16a9c0c

23763980 has 24 divisors (see below), whose sum is σ = 51515520. Its totient is φ = 9198720.

The previous prime is 23763973. The next prime is 23763989. The reversal of 23763980 is 8936732.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23763989) 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, 18545 + ... + 19784.

It is an arithmetic number, because the mean of its divisors is an integer number (2146480).

Almost surely, 223763980 is an apocalyptic number.

23763980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23763980 is an abundant number, since it is smaller than the sum of its proper divisors (27751540).

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

23763980 is a wasteful number, since it uses less digits than its factorization.

23763980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38369 (or 38367 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 23763980 is about 4874.8312791316. The cubic root of 23763980 is about 287.5012425907.

The spelling of 23763980 in words is "twenty-three million, seven hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 38329 76658 153316 191645 383290 766580 1188199 2376398 4752796 5940995 11881990 23763980