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23180040 = 23335132127
BaseRepresentation
bin101100001101…
…1001100001000
31121121200001000
41120123030020
521413230130
62144455000
7401012202
oct130331410
947550030
1023180040
11120a2564
12791a460
134a57a00
143115772
15207d260
hex161b308

23180040 has 192 divisors, whose sum is σ = 84326400. Its totient is φ = 5660928.

The previous prime is 23180023. The next prime is 23180063. The reversal of 23180040 is 4008132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23179995 and 23180022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182457 + ... + 182583.

It is an arithmetic number, because the mean of its divisors is an integer number (439200).

Almost surely, 223180040 is an apocalyptic number.

23180040 is a gapful number since it is divisible by the number (20) 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 23180040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42163200).

23180040 is an abundant number, since it is smaller than the sum of its proper divisors (61146360).

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

23180040 is a wasteful number, since it uses less digits than its factorization.

23180040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23180040 is about 4814.5654009474. The cubic root of 23180040 is about 285.1268133709.

Adding to 23180040 its reverse (4008132), we get a palindrome (27188172).

The spelling of 23180040 in words is "twenty-three million, one hundred eighty thousand, forty".