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23821140 = 22357431319
BaseRepresentation
bin101101011011…
…1101101010100
31122211020110110
41122313231110
522044234030
62210323020
7406322250
oct132675524
948736413
1023821140
11124a01a2
127b89470
134c20765
143241260
1521581b0
hex16b7b54

23821140 has 96 divisors (see below), whose sum is σ = 78059520. Its totient is φ = 5314176.

The previous prime is 23821129. The next prime is 23821157. The reversal of 23821140 is 4112832.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 17401 + ... + 18719.

It is an arithmetic number, because the mean of its divisors is an integer number (813120).

Almost surely, 223821140 is an apocalyptic number.

23821140 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 23821140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

23821140 is an abundant number, since it is smaller than the sum of its proper divisors (54238380).

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

23821140 is a wasteful number, since it uses less digits than its factorization.

23821140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23821140 is about 4880.6905249155. The cubic root of 23821140 is about 287.7315689446.

Adding to 23821140 its reverse (4112832), we get a palindrome (27933972).

The spelling of 23821140 in words is "twenty-three million, eight hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1319 1505 1806 2580 2638 3010 3612 3957 4515 5276 6020 6595 7914 9030 9233 13190 15828 18060 18466 19785 26380 27699 36932 39570 46165 55398 56717 79140 92330 110796 113434 138495 170151 184660 226868 276990 283585 340302 397019 553980 567170 680604 794038 850755 1134340 1191057 1588076 1701510 1985095 2382114 3403020 3970190 4764228 5955285 7940380 11910570 23821140