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23905140 = 22357247173
BaseRepresentation
bin101101100110…
…0001101110100
31122222111200120
41123030031310
522104431030
62212211540
7410122200
oct133141564
948874616
1023905140
1112548316
128009bb0
134c4ca6c
143263b00
152173010
hex16cc374

23905140 has 144 divisors (see below), whose sum is σ = 79978752. Its totient is φ = 5316864.

The previous prime is 23905139. The next prime is 23905157. The reversal of 23905140 is 4150932.

It is a self number, because there is not a number n which added to its sum of digits gives 23905140.

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, 138094 + ... + 138266.

It is an arithmetic number, because the mean of its divisors is an integer number (555408).

Almost surely, 223905140 is an apocalyptic number.

23905140 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 23905140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39989376).

23905140 is an abundant number, since it is smaller than the sum of its proper divisors (56073612).

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

23905140 is a wasteful number, since it uses less digits than its factorization.

23905140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 23905140 is about 4889.2882917660. The cubic root of 23905140 is about 288.0693795042.

The spelling of 23905140 in words is "twenty-three million, nine hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 173 188 196 210 235 245 282 294 329 346 420 470 490 519 564 588 658 692 705 735 865 940 980 987 1038 1211 1316 1410 1470 1645 1730 1974 2076 2303 2422 2595 2820 2940 3290 3460 3633 3948 4606 4844 4935 5190 6055 6580 6909 7266 8131 8477 9212 9870 10380 11515 12110 13818 14532 16262 16954 18165 19740 23030 24220 24393 25431 27636 32524 33908 34545 36330 40655 42385 46060 48786 50862 56917 69090 72660 81310 84770 97572 101724 113834 121965 127155 138180 162620 169540 170751 227668 243930 254310 284585 341502 398419 487860 508620 569170 683004 796838 853755 1138340 1195257 1593676 1707510 1992095 2390514 3415020 3984190 4781028 5976285 7968380 11952570 23905140