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23466240 = 28335797
BaseRepresentation
bin101100110000…
…1000100000000
31122011012122000
41121201010000
522001404430
62154544000
7403313460
oct131410400
948135560
1023466240
1112278596
127a38000
134b28065
14318bba0
1520d7e60
hex1661100

23466240 has 288 divisors, whose sum is σ = 96149760. Its totient is φ = 5308416.

The previous prime is 23466217. The next prime is 23466257. The reversal of 23466240 is 4266432.

23466240 is a `hidden beast` number, since 2 + 34 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241872 + ... + 241968.

Almost surely, 223466240 is an apocalyptic number.

23466240 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 23466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48074880).

23466240 is an abundant number, since it is smaller than the sum of its proper divisors (72683520).

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

23466240 is an equidigital number, since it uses as much as digits as its factorization.

23466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23466240 is about 4844.1965278052. The cubic root of 23466240 is about 286.2954873907.

The spelling of 23466240 in words is "twenty-three million, four hundred sixty-six thousand, two hundred forty".