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23948820 = 22325783229
BaseRepresentation
bin101101101011…
…0111000010100
31200001201121100
41123112320110
522112330240
62213150100
7410363430
oct133267024
950051540
1023948820
1112578115
12802b330
134c668cc
1432759c0
152180e30
hex16d6e14

23948820 has 144 divisors (see below), whose sum is σ = 84389760. Its totient is φ = 5384448.

The previous prime is 23948777. The next prime is 23948851. The reversal of 23948820 is 2884932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104466 + ... + 104694.

It is an arithmetic number, because the mean of its divisors is an integer number (586040).

Almost surely, 223948820 is an apocalyptic number.

23948820 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 23948820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42194880).

23948820 is an abundant number, since it is smaller than the sum of its proper divisors (60440940).

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

23948820 is a wasteful number, since it uses less digits than its factorization.

23948820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23948820 is about 4893.7531609185. The cubic root of 23948820 is about 288.2447283255.

The spelling of 23948820 in words is "twenty-three million, nine hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 229 249 252 315 332 415 420 458 498 581 630 687 747 830 916 996 1145 1162 1245 1260 1374 1494 1603 1660 1743 2061 2290 2324 2490 2748 2905 2988 3206 3435 3486 3735 4122 4580 4809 4980 5229 5810 6412 6870 6972 7470 8015 8244 8715 9618 10305 10458 11620 13740 14427 14940 16030 17430 19007 19236 20610 20916 24045 26145 28854 32060 34860 38014 41220 48090 52290 57021 57708 72135 76028 95035 96180 104580 114042 133049 144270 171063 190070 228084 266098 285105 288540 342126 380140 399147 532196 570210 665245 684252 798294 855315 1140420 1197441 1330490 1596588 1710630 1995735 2394882 2660980 3421260 3991470 4789764 5987205 7982940 11974410 23948820