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23882040 = 23385713
BaseRepresentation
bin101101100011…
…0100100111000
31122221100000000
41123012210320
522103211130
62211513000
7406664640
oct133064470
948840000
1023882040
1112531a26
127bb8760
134c423b0
143259520
15216b260
hex16c6938

23882040 has 288 divisors, whose sum is σ = 99197280. Its totient is φ = 5038848.

The previous prime is 23882029. The next prime is 23882041. The reversal of 23882040 is 4028832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 23881995 and 23882013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23882041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1837074 + ... + 1837086.

It is an arithmetic number, because the mean of its divisors is an integer number (344435).

Almost surely, 223882040 is an apocalyptic number.

23882040 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 23882040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49598640).

23882040 is an abundant number, since it is smaller than the sum of its proper divisors (75315240).

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

23882040 is an equidigital number, since it uses as much as digits as its factorization.

23882040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23882040 is about 4886.9254137955. The cubic root of 23882040 is about 287.9765605924.

The spelling of 23882040 in words is "twenty-three million, eight hundred eighty-two thousand, forty".