Search a number
-
+
23183040 = 2635193141
BaseRepresentation
bin101100001101…
…1111011000000
31121121211011010
41120123323000
521413324130
62144520520
7401024016
oct130337300
947554133
1023183040
11120a4841
127920140
134a5919a
1431168b6
15207e0b0
hex161bec0

23183040 has 224 divisors, whose sum is σ = 81930240. Its totient is φ = 5529600.

The previous prime is 23183033. The next prime is 23183089. The reversal of 23183040 is 4038132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23182998 and 23183016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565420 + ... + 565460.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 223183040 is an apocalyptic number.

23183040 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 23183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

23183040 is an abundant number, since it is smaller than the sum of its proper divisors (58747200).

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

23183040 is a wasteful number, since it uses less digits than its factorization.

23183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23183040 is about 4814.8769454681. The cubic root of 23183040 is about 285.1391133719.

The spelling of 23183040 in words is "twenty-three million, one hundred eighty-three thousand, forty".