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23880920 = 23571729173
BaseRepresentation
bin101101100011…
…0010011011000
31122221021110112
41123012103120
522103142140
62211503452
7406661450
oct133062330
948837415
1023880920
11125310a8
127bb7b88
134c41a2b
143258d60
15216ac65
hex16c64d8

23880920 has 128 divisors (see below), whose sum is σ = 67651200. Its totient is φ = 7397376.

The previous prime is 23880917. The next prime is 23881027. The reversal of 23880920 is 2908832.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137954 + ... + 138126.

It is an arithmetic number, because the mean of its divisors is an integer number (528525).

Almost surely, 223880920 is an apocalyptic number.

23880920 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 23880920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33825600).

23880920 is an abundant number, since it is smaller than the sum of its proper divisors (43770280).

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

23880920 is a wasteful number, since it uses less digits than its factorization.

23880920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 23880920 is about 4886.8108209752. The cubic root of 23880920 is about 287.9720587605.

The spelling of 23880920 in words is "twenty-three million, eight hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 29 34 35 40 56 58 68 70 85 116 119 136 140 145 170 173 203 232 238 280 290 340 346 406 476 493 580 595 680 692 812 865 952 986 1015 1160 1190 1211 1384 1624 1730 1972 2030 2380 2422 2465 2941 3451 3460 3944 4060 4760 4844 4930 5017 5882 6055 6902 6920 8120 9688 9860 10034 11764 12110 13804 14705 17255 19720 20068 20587 23528 24220 25085 27608 29410 34510 35119 40136 41174 48440 50170 58820 69020 70238 82348 85289 100340 102935 117640 138040 140476 164696 170578 175595 200680 205870 280952 341156 351190 411740 426445 597023 682312 702380 823480 852890 1194046 1404760 1705780 2388092 2985115 3411560 4776184 5970230 11940460 23880920