Search a number
-
+
23531040 = 2533513419
BaseRepresentation
bin101100111000…
…0111000100000
31122021111112000
41121300320200
522010443130
62200204000
7404003421
oct131607040
948244460
1023531040
1112312245
127a69600
134b4b6c0
1431a7648
1520ec260
hex1670e20

23531040 has 192 divisors, whose sum is σ = 88905600. Its totient is φ = 5778432.

The previous prime is 23531023. The next prime is 23531041. The reversal of 23531040 is 4013532.

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

It is not an unprimeable number, because it can be changed into a prime (23531041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55951 + ... + 56369.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 223531040 is an apocalyptic number.

23531040 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 23531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

23531040 is an abundant number, since it is smaller than the sum of its proper divisors (65374560).

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

23531040 is a wasteful number, since it uses less digits than its factorization.

23531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23531040 is about 4850.8803324757. The cubic root of 23531040 is about 286.5587719674.

Adding to 23531040 its reverse (4013532), we get a palindrome (27544572).

The spelling of 23531040 in words is "twenty-three million, five hundred thirty-one thousand, forty".