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23980320 = 2533571361
BaseRepresentation
bin101101101111…
…0100100100000
31200010022211000
41123132210200
522114332240
62213552000
7410554320
oct133364440
950108730
1023980320
1112599851
128045600
134c78050
143283280
15218a430
hex16de920

23980320 has 384 divisors, whose sum is σ = 104993280. Its totient is φ = 4976640.

The previous prime is 23980309. The next prime is 23980331. The reversal of 23980320 is 2308932.

23980320 = T680 + T681 + ... + T770.

It is an interprime number because it is at equal distance from previous prime (23980309) and next prime (23980331).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393090 + ... + 393150.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 223980320 is an apocalyptic number.

23980320 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 23980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

23980320 is an abundant number, since it is smaller than the sum of its proper divisors (81012960).

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

23980320 is a wasteful number, since it uses less digits than its factorization.

23980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23980320 is about 4896.9704920491. The cubic root of 23980320 is about 288.3710495247.

The spelling of 23980320 in words is "twenty-three million, nine hundred eighty thousand, three hundred twenty".