Search a number
-
+
23360460 = 2235596599
BaseRepresentation
bin101100100011…
…1001111001100
31121221211112020
41121013033030
521440013320
62152410140
7402363204
oct131071714
947854466
1023360460
1112206072
1279a6950
134abbb76
143161404
1520b6940
hex16473cc

23360460 has 48 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 6122944.

The previous prime is 23360459. The next prime is 23360473. The reversal of 23360460 is 6406332.

23360460 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×233604602 = 1091422182823200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23360460.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 241 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 223360460 is an apocalyptic number.

23360460 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 23360460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

23360460 is an abundant number, since it is smaller than the sum of its proper divisors (43167540).

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

23360460 is a wasteful number, since it uses less digits than its factorization.

23360460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 23360460 is about 4833.2659765422. The cubic root of 23360460 is about 285.8646563227.

Adding to 23360460 its reverse (6406332), we get a palindrome (29766792).

The spelling of 23360460 in words is "twenty-three million, three hundred sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 6599 13198 19797 26396 32995 39594 65990 79188 98985 131980 197970 389341 395940 778682 1168023 1557364 1946705 2336046 3893410 4672092 5840115 7786820 11680230 23360460