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23874120 = 23325174783
BaseRepresentation
bin101101100010…
…0101001001000
31122220221010200
41123010221020
522102432440
62211412200
7406632564
oct133045110
948827120
1023874120
1112526a86
127bb4060
134c3b8ca
1432566a4
152168c30
hex16c4a48

23874120 has 192 divisors, whose sum is σ = 84913920. Its totient is φ = 5793792.

The previous prime is 23874113. The next prime is 23874133. The reversal of 23874120 is 2147832.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287599 + ... + 287681.

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

Almost surely, 223874120 is an apocalyptic number.

23874120 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 23874120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

23874120 is an abundant number, since it is smaller than the sum of its proper divisors (61039800).

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

23874120 is a wasteful number, since it uses less digits than its factorization.

23874120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 23874120 is about 4886.1150211594. The cubic root of 23874120 is about 287.9447231875.

The spelling of 23874120 in words is "twenty-three million, eight hundred seventy-four thousand, one hundred twenty".