Search a number
-
+
23382540 = 22335194353
BaseRepresentation
bin101100100110…
…0101000001100
31121222221211000
41121030220030
521441220130
62153100300
7402514446
oct131145014
947887730
1023382540
1112220715
1279b7690
134ac8c2c
143169496
1520bd260
hex164ca0c

23382540 has 192 divisors, whose sum is σ = 79833600. Its totient is φ = 5660928.

The previous prime is 23382539. The next prime is 23382551. The reversal of 23382540 is 4528332.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441154 + ... + 441206.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 223382540 is an apocalyptic number.

23382540 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 23382540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

23382540 is an abundant number, since it is smaller than the sum of its proper divisors (56451060).

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

23382540 is a wasteful number, since it uses less digits than its factorization.

23382540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

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

The square root of 23382540 is about 4835.5496068182. The cubic root of 23382540 is about 285.9546931344.

The spelling of 23382540 in words is "twenty-three million, three hundred eighty-two thousand, five hundred forty".