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23533040 = 245436841
BaseRepresentation
bin101100111000…
…1010111110000
31122021121021002
41121301113300
522011024130
62200221132
7404012306
oct131612760
948247232
1023533040
11123137a3
127a6a7a8
134b4c59b
1431a8276
1520ecb45
hex16715f0

23533040 has 40 divisors (see below), whose sum is σ = 55994928. Its totient is φ = 9192960.

The previous prime is 23533009. The next prime is 23533043. The reversal of 23533040 is 4033532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23533043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20 + ... + 6860.

Almost surely, 223533040 is an apocalyptic number.

23533040 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 23533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27997464).

23533040 is an abundant number, since it is smaller than the sum of its proper divisors (32461888).

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

23533040 is a wasteful number, since it uses less digits than its factorization.

23533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 23533040 is about 4851.0864762443. The cubic root of 23533040 is about 286.5668903408.

Adding to 23533040 its reverse (4033532), we get a palindrome (27566572).

The spelling of 23533040 in words is "twenty-three million, five hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 6841 13682 27364 34205 54728 68410 109456 136820 273640 294163 547280 588326 1176652 1470815 2353304 2941630 4706608 5883260 11766520 23533040