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23878680 = 23357231131
BaseRepresentation
bin101101100010…
…1110000011000
31122221011101120
41123011300120
522103104210
62211445240
7406652100
oct133056030
948834346
1023878680
111252a451
127bb6820
134c409c7
143258200
15216a270
hex16c5c18

23878680 has 192 divisors, whose sum is σ = 86676480. Its totient is φ = 5241600.

The previous prime is 23878663. The next prime is 23878681. The reversal of 23878680 is 8687832.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23878681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182215 + ... + 182345.

It is an arithmetic number, because the mean of its divisors is an integer number (451440).

Almost surely, 223878680 is an apocalyptic number.

23878680 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 23878680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43338240).

23878680 is an abundant number, since it is smaller than the sum of its proper divisors (62797800).

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

23878680 is a wasteful number, since it uses less digits than its factorization.

23878680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 23878680 is about 4886.5816272728. The cubic root of 23878680 is about 287.9630546743.

The spelling of 23878680 in words is "twenty-three million, eight hundred seventy-eight thousand, six hundred eighty".