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23832480 = 2535741173
BaseRepresentation
bin101101011101…
…0011110100000
31122211211000110
41122322132200
522100114410
62210451320
7406400310
oct132723640
948754013
1023832480
11124a8771
127b93b40
134c25979
143245440
15215b720
hex16ba7a0

23832480 has 192 divisors, whose sum is σ = 88397568. Its totient is φ = 5283840.

The previous prime is 23832463. The next prime is 23832493. The reversal of 23832480 is 8423832.

23832480 = 1332 + 1342 + ... + 4192.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137674 + ... + 137846.

It is an arithmetic number, because the mean of its divisors is an integer number (460404).

Almost surely, 223832480 is an apocalyptic number.

23832480 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 23832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784).

23832480 is an abundant number, since it is smaller than the sum of its proper divisors (64565088).

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

23832480 is a wasteful number, since it uses less digits than its factorization.

23832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 23832480 is about 4881.8521075510. The cubic root of 23832480 is about 287.7772196897. Note that the first 3 decimals are identical.

The spelling of 23832480 in words is "twenty-three million, eight hundred thirty-two thousand, four hundred eighty".