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23187240 = 23325292221
BaseRepresentation
bin101100001110…
…0111100101000
31121122000220200
41120130330220
521413442430
62144552200
7401042166
oct130347450
947560820
1023187240
11120a7a0a
127922660
134a5b07b
143118236
152080460
hex161cf28

23187240 has 96 divisors (see below), whose sum is σ = 77992200. Its totient is φ = 5967360.

The previous prime is 23187217. The next prime is 23187313. The reversal of 23187240 is 4278132.

It can be written as a sum of positive squares in 4 ways, for example, as 20304036 + 2883204 = 4506^2 + 1698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9330 + ... + 11550.

Almost surely, 223187240 is an apocalyptic number.

23187240 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 23187240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38996100).

23187240 is an abundant number, since it is smaller than the sum of its proper divisors (54804960).

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

23187240 is a wasteful number, since it uses less digits than its factorization.

23187240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 23187240 is about 4815.3130739340. The cubic root of 23187240 is about 285.1563315906.

The spelling of 23187240 in words is "twenty-three million, one hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2221 2610 3480 4442 5220 6663 8884 10440 11105 13326 17768 19989 22210 26652 33315 39978 44420 53304 64409 66630 79956 88840 99945 128818 133260 159912 193227 199890 257636 266520 322045 386454 399780 515272 579681 644090 772908 799560 966135 1159362 1288180 1545816 1932270 2318724 2576360 2898405 3864540 4637448 5796810 7729080 11593620 23187240