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23855040 = 2633511251
BaseRepresentation
bin101101011111…
…1111111000000
31122212221222000
41122333333000
522101330130
62211144000
7406523136
oct132777700
948787860
1023855040
1112513710
127ba5000
134c33011
14324d756
152163260
hex16bffc0

23855040 has 224 divisors, whose sum is σ = 92171520. Its totient is φ = 5760000.

The previous prime is 23855033. The next prime is 23855053. The reversal of 23855040 is 4055832.

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

It is a zygodrome in base 4 and base 6.

It is a junction number, because it is equal to n+sod(n) for n = 23854995 and 23855013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94915 + ... + 95165.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 223855040 is an apocalyptic number.

23855040 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 23855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

23855040 is an abundant number, since it is smaller than the sum of its proper divisors (68316480).

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

23855040 is a wasteful number, since it uses less digits than its factorization.

23855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23855040 is about 4884.1621594701. The cubic root of 23855040 is about 287.8679950603.

It can be divided in two parts, 238 and 55040, that added together give a triangular number (55278 = T332).

The spelling of 23855040 in words is "twenty-three million, eight hundred fifty-five thousand, forty".