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23027180 = 225111747131
BaseRepresentation
bin101011111010…
…1110111101100
31121022220100112
41113311313230
521343332210
62141315152
7366504431
oct127656754
947286315
1023027180
1111aa8730
127865ab8
134a03267
1430b5b88
15204cd05
hex15f5dec

23027180 has 96 divisors (see below), whose sum is σ = 57480192. Its totient is φ = 7654400.

The previous prime is 23027177. The next prime is 23027201. The reversal of 23027180 is 8172032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175715 + ... + 175845.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 223027180 is an apocalyptic number.

23027180 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 23027180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740096).

23027180 is an abundant number, since it is smaller than the sum of its proper divisors (34453012).

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

23027180 is a wasteful number, since it uses less digits than its factorization.

23027180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 23027180 is about 4798.6643975173. The cubic root of 23027180 is about 284.4986775163.

The spelling of 23027180 in words is "twenty-three million, twenty-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 47 55 68 85 94 110 131 170 187 188 220 235 262 340 374 470 517 524 655 748 799 935 940 1034 1310 1441 1598 1870 2068 2227 2585 2620 2882 3196 3740 3995 4454 5170 5764 6157 7205 7990 8789 8908 10340 11135 12314 14410 15980 17578 22270 24497 24628 28820 30785 35156 43945 44540 48994 61570 67727 87890 97988 104669 122485 123140 135454 175780 209338 244970 270908 338635 418676 489940 523345 677270 1046690 1151359 1354540 2093380 2302718 4605436 5756795 11513590 23027180