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23120928 = 2532431867
BaseRepresentation
bin101100000110…
…0110000100000
31121111122221200
41120030300200
521404332203
62143321200
7400344645
oct130146040
947448850
1023120928
1112062106
1278b0200
134a36b2c
1430dbdcc
15206a9a3
hex160cc20

23120928 has 72 divisors (see below), whose sum is σ = 67315248. Its totient is φ = 7523712.

The previous prime is 23120927. The next prime is 23120941. The reversal of 23120928 is 82902132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (23120921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11451 + ... + 13317.

It is an arithmetic number, because the mean of its divisors is an integer number (934934).

Almost surely, 223120928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33657624).

23120928 is an abundant number, since it is smaller than the sum of its proper divisors (44194320).

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

23120928 is a wasteful number, since it uses less digits than its factorization.

23120928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23120928 is about 4808.4226103786. The cubic root of 23120928 is about 284.8842373806.

The spelling of 23120928 in words is "twenty-three million, one hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 1867 2064 3096 3734 4128 5601 6192 7468 11202 12384 14936 16803 22404 29872 33606 44808 59744 67212 80281 89616 134424 160562 179232 240843 268848 321124 481686 537696 642248 722529 963372 1284496 1445058 1926744 2568992 2890116 3853488 5780232 7706976 11560464 23120928