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23869440 = 211325737
BaseRepresentation
bin101101100001…
…1100000000000
31122220200201100
41123003200000
522102310230
62211334400
7406613130
oct133034000
948820640
1023869440
1112523511
127bb1400
134c3973a
143254ac0
152167660
hex16c3800

23869440 has 288 divisors, whose sum is σ = 97100640. Its totient is φ = 5308416.

The previous prime is 23869427. The next prime is 23869441. The reversal of 23869440 is 4496832.

It is a happy number.

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 (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 23869395 and 23869404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23869441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645102 + ... + 645138.

It is an arithmetic number, because the mean of its divisors is an integer number (337155).

Almost surely, 223869440 is an apocalyptic number.

23869440 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 23869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48550320).

23869440 is an abundant number, since it is smaller than the sum of its proper divisors (73231200).

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

23869440 is a wasteful number, since it uses less digits than its factorization.

23869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23869440 is about 4885.6360895998. The cubic root of 23869440 is about 287.9259068658.

The spelling of 23869440 in words is "twenty-three million, eight hundred sixty-nine thousand, four hundred forty".