Search a number
-
+
23528340 = 223351117233
BaseRepresentation
bin101100111000…
…0001110010100
31122021100211000
41121300032110
522010401330
62200143300
7403662513
oct131601624
948240730
1023528340
1112310210
127a67b30
134b4a3c4
1431a667a
1520eb560
hex1670394

23528340 has 192 divisors, whose sum is σ = 84913920. Its totient is φ = 5345280.

The previous prime is 23528339. The next prime is 23528359. The reversal of 23528340 is 4382532.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 100864 + ... + 101096.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 223528340 is an apocalyptic number.

23528340 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 23528340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

23528340 is an abundant number, since it is smaller than the sum of its proper divisors (61385580).

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

23528340 is a wasteful number, since it uses less digits than its factorization.

23528340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23528340 is about 4850.6020244914. The cubic root of 23528340 is about 286.5478114336.

The spelling of 23528340 in words is "twenty-three million, five hundred twenty-eight thousand, three hundred forty".