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23120640 = 28345223
BaseRepresentation
bin101100000110…
…0101100000000
31121111122120000
41120030230000
521404330030
62143320000
7400344054
oct130145400
947448500
1023120640
1112061974
1278b0000
134a3696a
1430dbc64
15206a860
hex160cb00

23120640 has 180 divisors, whose sum is σ = 83100864. Its totient is φ = 6137856.

The previous prime is 23120639. The next prime is 23120641. The reversal of 23120640 is 4602132.

It is a happy number.

23120640 is a `hidden beast` number, since 2 + 3 + 1 + 20 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (23120639) and next prime (23120641).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (23120641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103569 + ... + 103791.

Almost surely, 223120640 is an apocalyptic number.

23120640 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 23120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550432).

23120640 is an abundant number, since it is smaller than the sum of its proper divisors (59980224).

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

23120640 is an equidigital number, since it uses as much as digits as its factorization.

23120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23120640 is about 4808.3926628344. The cubic root of 23120640 is about 284.8830545128.

Adding to 23120640 its reverse (4602132), we get a palindrome (27722772).

The spelling of 23120640 in words is "twenty-three million, one hundred twenty thousand, six hundred forty".