Search a number
-
+
23030784 = 210337217
BaseRepresentation
bin101011111011…
…0110000000000
31121100002022000
41113312300000
521343441114
62141344000
7366521100
oct127666000
947302260
1023030784
1112000407
127868000
134a04aaa
1430b7200
15204de09
hex15f6c00

23030784 has 264 divisors, whose sum is σ = 84008880. Its totient is φ = 6193152.

The previous prime is 23030783. The next prime is 23030789. The reversal of 23030784 is 48703032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23030783) 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 23 ways as a sum of consecutive naturals, for example, 1354744 + ... + 1354760.

Almost surely, 223030784 is an apocalyptic number.

23030784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23030784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42004440).

23030784 is an abundant number, since it is smaller than the sum of its proper divisors (60978096).

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

23030784 is a wasteful number, since it uses less digits than its factorization.

23030784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23030784 is about 4799.0399039808. The cubic root of 23030784 is about 284.5135191041.

The spelling of 23030784 in words is "twenty-three million, thirty thousand, seven hundred eighty-four".