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23940000 = 253254719
BaseRepresentation
bin101101101010…
…0101110100000
31200001021111200
41123110232200
522112040000
62213041200
7410325630
oct133245640
950037450
1023940000
1112571527
128026200
134c628a6
1432726c0
15217d500
hex16d4ba0

23940000 has 360 divisors, whose sum is σ = 102342240. Its totient is φ = 5184000.

The previous prime is 23939989. The next prime is 23940011. The reversal of 23940000 is 4932.

It is an interprime number because it is at equal distance from previous prime (23939989) and next prime (23940011).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259991 + ... + 1260009.

It is an arithmetic number, because the mean of its divisors is an integer number (284284).

Almost surely, 223940000 is an apocalyptic number.

23940000 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 23940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

23940000 is an abundant number, since it is smaller than the sum of its proper divisors (78402240).

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

23940000 is a wasteful number, since it uses less digits than its factorization.

23940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23940000 is about 4892.8519290900. The cubic root of 23940000 is about 288.2093385420.

Adding to 23940000 its reverse (4932), we get a palindrome (23944932).

The spelling of 23940000 in words is "twenty-three million, nine hundred forty thousand".